{"title":"A study of Casimir wormhole in f(R,Lm,T) gravity framework","authors":"Amit Samaddar, S. Surendra Singh","doi":"10.1016/j.hedp.2026.101268","DOIUrl":"10.1016/j.hedp.2026.101268","url":null,"abstract":"<div><div>In this work, we explore the construction and physical viability of Casimir wormholes within the context of modified gravity defined by <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>,</mo><mi>T</mi><mo>)</mo></mrow><mo>=</mo><mi>R</mi><mo>+</mo><msub><mrow><mi>χ</mi></mrow><mrow><mn>1</mn></mrow></msub><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>+</mo><msub><mrow><mi>χ</mi></mrow><mrow><mn>2</mn></mrow></msub><mi>T</mi></mrow></math></span>, where <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> denote the coupling constants associated with the matter Lagrangian and the trace of the energy–momentum tensor, respectively. We explore two scenarios: one without and one with the inclusion of quantum gravity effects through the Generalized Uncertainty Principle (GUP), considering both KMM and DGS models. Without incorporating GUP corrections, we obtain exact shape functions sustained by Casimir energy and demonstrate that essential wormhole criteria – like the flaring-out condition and asymptotic flatness – are met, though some energy conditions are violated in the vicinity of the throat. Including GUP corrections improves the physical plausibility of the solutions by confining the exotic matter to a smaller region and reducing the extent of energy condition violations. We examine the pressure anisotropy, evaluate the energy conditions and utilize the volume integral quantifier to assess the amount of exotic matter present. The TOV equation analysis confirms mechanical stability, achieved through a balance of hydrostatic and anisotropic forces. Our findings confirm that Casimir wormholes are feasible within this extended gravity framework, and that GUP corrections significantly contribute to enhance their physical viability.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101268"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Ilyas , Fawad Khan , Arooba Gul , Javeria Mehtab
{"title":"Exploring wormhole solutions with dark matter distributions in f(R) gravity","authors":"M. Ilyas , Fawad Khan , Arooba Gul , Javeria Mehtab","doi":"10.1016/j.hedp.2025.101259","DOIUrl":"10.1016/j.hedp.2025.101259","url":null,"abstract":"<div><div>In the framework of <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity with the exponential correction model <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow><mo>=</mo><mi>R</mi><mo>+</mo><mi>α</mi><mi>R</mi><mfenced><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo><mi>R</mi><mo>/</mo><msub><mrow><mi>α</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></msup><mo>−</mo><mn>1</mn></mrow></mfenced></mrow></math></span>, we explore the possibility of obtaining traversable wormhole geometries supported by galactic dark matter distributions. To this end, we investigate three distinct dark matter halo density profiles-namely the Universal Rotation Curve (URC), the Navarro–Frenk–White (NFW) model-I, and the NFW model-II-within the chosen modified gravity scenario. By analyzing the corresponding field equations, we show that these halo profiles can generate viable wormhole shape functions that satisfy the required flare-out conditions at the throat for suitable choices of the free parameters. Furthermore, the energy conditions are examined, and we find that the solutions inevitably lead to the violation of the null energy condition (NEC), a feature commonly associated with wormhole physics. This indicates that dark matter, within the modified gravity background considered here, may act as an effective source to sustain wormhole geometries in galactic halo regions. Our results therefore provide an intriguing connection between dark matter phenomenology, galactic halo structures, and non-linear corrections in <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101259"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Elangbam Chingkheinganba Meetei, S. Surendra Singh
{"title":"Observational compliance of cosmic parameters in modified f(R,G,T) gravity","authors":"Elangbam Chingkheinganba Meetei, S. Surendra Singh","doi":"10.1016/j.hedp.2026.101266","DOIUrl":"10.1016/j.hedp.2026.101266","url":null,"abstract":"<div><div>The Friedmann–Robertson–Walker (FRW) cosmological model is analysed within the framework of <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><mi>G</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> gravity, where <span><math><mi>T</mi></math></span> denotes the trace of the energy–momentum tensor, <span><math><mi>G</mi></math></span> is the Gauss–Bonnet invariant, and <span><math><mi>R</mi></math></span> is the Ricci scalar. We consider the functional form <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><mi>G</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow><mo>=</mo><mi>R</mi><mo>+</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mi>λ</mi><mspace></mspace><mi>G</mi><mspace></mspace><msup><mrow><mrow><mo>(</mo><mo>−</mo><mi>T</mi><mo>)</mo></mrow></mrow><mrow><mi>m</mi></mrow></msup></mrow></math></span>, where <span><math><mi>λ</mi></math></span> and <span><math><mi>m</mi></math></span> are model parameters. Adopting a newly proposed deceleration parameter, <span><math><mrow><mi>q</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow><mo>=</mo><msub><mrow><mi>q</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>+</mo><mfrac><mrow><mi>a</mi><mi>z</mi><mo>+</mo><mi>b</mi><mrow><mo>(</mo><msup><mrow><mi>z</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow><mi>z</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>)</mo></mrow></mrow><mrow><mn>1</mn><mo>+</mo><msup><mrow><mi>z</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></mrow></math></span>, we employ the Markov Chain Monte Carlo (MCMC) method to find the constrained values of the cosmological parameters using Hubble, BAO, and Pantheon+ datasets. Our analysis shows that the pressure becomes negative for <span><math><mrow><mi>z</mi><mo>→</mo><mo>−</mo><mn>1</mn></mrow></math></span> after <span><math><mrow><mi>z</mi><mo>≈</mo><mn>0</mn><mo>.</mo><mn>42</mn></mrow></math></span>, while the energy density remains positive for all <span><math><mi>z</mi></math></span>. The deceleration parameter converges to <span><math><mrow><mo>−</mo><mn>1</mn></mrow></math></span>, with a present value <span><math><mrow><msub><mrow><mi>q</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mo>−</mo><mn>0</mn><mo>.</mo><mn>54</mn></mrow></math></span> which implies that the present stage of accelerated expansion. The equation-of-state parameter <span><math><mi>ω</mi></math></span> also approaches to <span><math><mrow><mo>−</mo><mn>1</mn></mrow></math></span> at late times which is consistent with a dark energy dominated era. Examination of the energy conditions reveals that the Strong Energy Condition (SEC) fails for <span><math><mrow><mi>z</mi><mo>→</mo><mo>−</mo><mn>1</mn></mrow></math></span> supporting the interpretation of ongoing late-time cosmic acceleration. State finder diagnostics indicate a transition from a Quintessence regime to a <span><math><mi>Λ</mi></math></span>CDM-like behaviour which is in agreement with current observational d","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101266"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146037529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Md. Mamunur Roshid , Mahtab Uddin , Mrityunjoy Kumar Pandit , Golam Mostafa , M S Osman
{"title":"Analysis of multiplicative noise intensity and nature for the stochastic Yajima-Oikawa in short-wave and long-wave","authors":"Md. Mamunur Roshid , Mahtab Uddin , Mrityunjoy Kumar Pandit , Golam Mostafa , M S Osman","doi":"10.1016/j.hedp.2025.101263","DOIUrl":"10.1016/j.hedp.2025.101263","url":null,"abstract":"<div><div>This manuscript studies the stochastic fractional Yajima-Oikawa model in short-wave and long-wave, focusing on the optical soliton solutions, the impact of multiplicative noise on the solitons, Quasi-periodic, super-periodic, and chaotic nature. A planar dynamic system is formed from the stochastic fractional Yajima-Oikawa model by using a transformation variable. Then, the chaotic nature, super-periodicity, and quasi-periodicity are analyzed by using a frequency and strength cosine perturbation term. The optical soliton solutions of the stochastic fractional Yajima-Oikawa model are constructed by using a functional transformation approach as well. The solutions take all trigonometric and hyperbolic functions from. Using suitable values for the free parameters, three-dimensional profiles were plotted to analyze the dynamic properties of the derived solutions, such as bright bell-shaped, dark bell-shaped, bright periodic, and cross double-periodic solitons. The noise causes changes in the soliton profiles, which makes the soliton amplitude peaks wider and less clear. White noise models mimic actual scenarios where random variations, including thermal or ambient noise, affect the stability of solitons as they propagate. In optical fiber communication, understanding how noise affects things helps engineers build systems that are better able to handle random problems. This method demonstrates how well graphical simulations work to show how these solutions behave and interact in practical settings. Finally, the result of the comparison demonstrates that the multiplicative noise intensity and the fractional parameter have a great influence on the obtained solutions. Moreover, this work contributes some new phenomena to advance the concept of nonlinear optical research and communication technology.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101263"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145976505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
H.B. Tran Tan , K.S. Davis , C.E. Johnson , J.R. White , C.J. Fontes , C.E. Starrett
{"title":"Electron-impact ionization from excited states method","authors":"H.B. Tran Tan , K.S. Davis , C.E. Johnson , J.R. White , C.J. Fontes , C.E. Starrett","doi":"10.1016/j.hedp.2026.101270","DOIUrl":"10.1016/j.hedp.2026.101270","url":null,"abstract":"<div><div>We present a distorted-wave with exchange (DWE) formulation for computing electron-impact ionization (EII) cross sections within the recently developed excited states method (ESM) for plasmas. The ESM provides a self-consistent quantum-mechanical description of both bound and continuum electronic states in dense plasmas, incorporating finite-temperature and screening effects absent in isolated-atom approaches. Using this framework, we calculate EII cross sections for lithium across a wide range of temperatures and densities. We show that the ESM reproduces the isolated-atom limit at low densities while capturing strong plasma effects, such as pressure ionization and shape resonances, at solid density. Comparisons with isolated-atom DWE and average-atom (AA) calculations reveal that, although AA cross sections can approximate configuration average behavior, the ESM provides more accurate, state-resolved answers. These results demonstrate that the ESM allows one to obtain rate coefficients for collisional-radiative modeling of plasmas out of local thermodynamical equilibrium.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101270"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Michael K.G. Kruse, Daniel Åberg, Carlos A. Iglesias
{"title":"Cooper minima of atoms in a plasma environment","authors":"Michael K.G. Kruse, Daniel Åberg, Carlos A. Iglesias","doi":"10.1016/j.hedp.2025.101254","DOIUrl":"10.1016/j.hedp.2025.101254","url":null,"abstract":"<div><div>Recent efforts have extended the calculations of photon ionization and associated Cooper minima to atoms in a plasma environment simulated by screening the atomic potential. In this paper previously unrecognized features of bound electron photon excitations in screened atomic potentials are examined. First, the Cooper minima location as a function of photon energy is shown to be weakly dependent on the screening, which is explained by stationary perturbation theory. Second, the screening transfers transition probability from high to low photon energies relative to the isolated atom result.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101254"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145748076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Regular Bardeen black hole solutions in Rastall theory: A gravitational decoupling approach","authors":"M. Sharif , Malick Sallah","doi":"10.1016/j.hedp.2025.101257","DOIUrl":"10.1016/j.hedp.2025.101257","url":null,"abstract":"<div><div>This research applies the generalized technique of gravitational decoupling to the Bardeen black hole, producing novel black hole solutions in the context of Rastall theory. We proceed by decomposition of the field equations corresponding to an additional matter source into two sets, for further considerations. The metric functions of the Bardeen black hole are adopted to specify the first set. The second one, which is subject to an extra source, is resolved considering a linear equation of state of matter. Through the integration of the solutions of these sets, we develop two expanded models and conduct an in-depth analysis of their distinct physical characteristics, governed by specific parameters. We investigate thermodynamic quantities like density, anisotropic pressure, energy bounds, asymptotic flatness, and thermodynamical properties like the Hawking temperature, entropy, and specific heat, etc. Both models are asymptotically flat but violate the energy bounds. Furthermore, the density, radial pressure, and Hawking temperature demonstrate consistent and acceptable behavior. Ultimately, the thermodynamic stability is affirmed through the analysis of specific heat and the Hessian matrix.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101257"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Shear-dominated LRS Bianchi type I cosmology in quadratic f(R) gravity with Chaplygin gas: A novel exact solution","authors":"Adnan Malik , Jamshed Khan , Fatemah Mofarreh","doi":"10.1016/j.hedp.2025.101261","DOIUrl":"10.1016/j.hedp.2025.101261","url":null,"abstract":"<div><div>We present the first exact analytical solution for a Locally Rotationally Symmetric (LRS) Bianchi type I universe in quadratic <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow><mo>=</mo><mi>R</mi><mo>+</mo><mi>α</mi><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span> gravity filled with a generalized Chaplygin gas. The critical constraint <span><math><mrow><mi>n</mi><mo>=</mo><mo>−</mo><mn>2</mn></mrow></math></span> emerges as a necessary condition for integrability, leading to a novel cosmological phase: a non-expanding universe where anisotropic shear completely dominates volumetric expansion. This solution reveals a precise equilibrium between geometric curvature corrections and exotic matter pressure, maintaining finite shear <span><math><mrow><msup><mrow><mi>σ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>∝</mo><msup><mrow><mi>t</mi></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></math></span> despite a vanishing expansion scalar. The existence of this stationary anisotropic configuration challenges conventional isotropization paradigms and provides a new benchmark for understanding early-universe dynamics in modified gravity. Comprehensive numerical verification confirms the solution’s accuracy and linear stability.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101261"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145938399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Enhanced plasma heating by interaction with high-contrast laser and cone-shaped target","authors":"Yuga Karaki , Yoshitaka Mori , Eigo Ebisawa , Yuichi Inubushi , Sadaoki Kojima , Kohei Yamanoi , Yuki Abe , Takumi Tsuido , Hiroki Matsubara , Rinya Akematsu , Ryo Omura , Ryunosuke Takizawa , King Fai Farley Law , Eisuke Miura , Yasunobu Arikawa , Keisuke Shigemori , Akifumi Iwamoto , Katsuhiro Ishii , Ryohei Hanayama , Yoneyoshi Kitagawa , Shinsuke Fujioka","doi":"10.1016/j.hedp.2025.101256","DOIUrl":"10.1016/j.hedp.2025.101256","url":null,"abstract":"<div><div>We investigated plasma-heating enhancement for the efficient production of high-energy-density plasma by irradiating a high-intensity, high-contrast short pulse from a kilojoule-class laser system onto a cone-attached target. Irradiating a cone-attached planar target with a high-contrast laser causes specular reflection of the laser pulse on the inner cone wall, aligning the laser pointing direction with the cone axis and focusing the laser near the tip. Using a simplified cone-attached target configuration, we directly demonstrate this guiding/focusing mechanism while isolating it from other complexities inherent to integrated fast-ignition experiments. The high contrast was achieved using a plasma mirror. Electron energy analyzer, X-ray spectrometer, and atomic kinetics modeling with a two-component electron distribution were applied to three cases: (i) flat target irradiated by low contrast pulse, (ii) flat target irradiated by high contrast pulse, and (iii) cone target irradiated by high contrast pulse. The cone irradiated by the high-contrast pulse case achieved an electron temperature of 9.9 <span><math><msubsup><mrow></mrow><mrow><mo>−</mo><mn>2</mn><mo>.</mo><mn>5</mn></mrow><mrow><mo>+</mo><mn>4</mn><mo>.</mo><mn>1</mn></mrow></msubsup></math></span> keV, that is roughly 17.5 <span><math><mo>×</mo></math></span> higher than in the low-contrast flat case. X-ray pinhole images show a multi-spot laser being guided to the cone tip, yielding localized X-ray emission. While a high-contrast laser reduced the fast-electron slope temperature for flat targets, adding the cone boosted the slope temperature by more than threefold, equivalent to a fourfold rise in local laser intensity. These results demonstrate that combining a high-contrast pulse with cone geometry markedly improves laser-to-plasma energy coupling for the fast-ignition inertial confinement fusion research.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101256"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ghazala Akram, Maasoomah Sadaf, Saima Arshed, Muhammad Sheraz
{"title":"Novel soliton solutions for the (2+1)-dimensional Sakovich equation using analytical methods","authors":"Ghazala Akram, Maasoomah Sadaf, Saima Arshed, Muhammad Sheraz","doi":"10.1016/j.hedp.2025.101262","DOIUrl":"10.1016/j.hedp.2025.101262","url":null,"abstract":"<div><div>A significant problem in mathematics and physics is the extraction of exact solutions for nonlinear partial differential equations. In this research paper, exact solutions of the (2+1)-dimensional Sakovich problem are obtained using three widely recognized techniques: the new Kudryashov method, the modified Kudryashov method, and the unified method. The results are visualized using Maple software, which illustrates the dynamics of the solutions.</div></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"58 ","pages":"Article 101262"},"PeriodicalIF":0.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884465","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}