PramanaPub Date : 2026-08-03DOI: 10.1007/s12043-026-03166-9
Ayanda Kunyana, Noeleen Naidoo, Sunil D. Maharaj, Rituparno Goswami
{"title":"Embeddings with generalised Vaidya spacetime","authors":"Ayanda Kunyana, Noeleen Naidoo, Sunil D. Maharaj, Rituparno Goswami","doi":"10.1007/s12043-026-03166-9","DOIUrl":"10.1007/s12043-026-03166-9","url":null,"abstract":"<div><p>The generalised Vaidya spacetime has several important applications in gravity. We study the embedding of an <i>N</i>-dimensional generalised Vaidya spacetime into an <span>((N+1))</span>-dimensional pseudo-Euclidean spacetime. The Gauss–Codazzi–Ricci equations reduce to a single condition, a Riccati equation, containing components of the Riemann tensor that can be solved in general in terms of elementary functions. The generalised mass function is found, representing the gravitational potential, which has a unique representation in terms of elementary functions. Our results have important geometrical and dynamical consequences. This mass function does not allow for the existence of a strong curvature singularity. The embedding in the Vaidya geometry generates a model of a radiating star with concentric layers.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-21DOI: 10.1007/s12043-026-03152-1
Yash B. Ingole, K. V. Somwanshi, S. N. Bayaskar
{"title":"Exploring dark energy via non-minimal coupling in ({varvec{f}}({varvec{Q,L}}_{{varvec{m}}})) gravity with Gong-Zhang parametrization","authors":"Yash B. Ingole, K. V. Somwanshi, S. N. Bayaskar","doi":"10.1007/s12043-026-03152-1","DOIUrl":"10.1007/s12043-026-03152-1","url":null,"abstract":"<div><p>In this study, we investigate the late-time accelerated expansion of the universe within the framework of non-minimally coupled <span>(f(Q, L_m))</span> gravity, where <i>Q</i> is the non-metricity scalar and <span>(L_m)</span> is the matter Lagrangian. We derive modified Friedmann equations in a flat Friedmann–Lemaître–Robertson–Walker (FLRW) metric background and employ the Gong-Zhang equation of state (EoS) parametrization, allowing an analytical form of the Hubble parameter <span>(H!(z))</span>. The model parameters are constrained using recent cosmic chronometers (CC) and Pantheon+SH0ES Type Ia supernova datasets through Markov Chain Monte Carlo (MCMC)-based chi-squared minimization. We analyze various cosmological quantities, including the deceleration parameter, EoS parameter, jerk, snap, lerk, and diagnostic tools such as <i>Om</i>(<i>z</i>) and the statefinder pair (<i>r</i>, <i>s</i>). Our findings indicate a viable transition from deceleration to acceleration and reveal a quintessence-like evolution of dark energy (DE). Furthermore, energy conditions are tested, showing a violation of the strong energy condition, consistent with current cosmic acceleration. The results establish that the <span>(f(Q, L_m))</span> framework with non-minimal coupling and a parametrized EoS provides a compelling alternative to <span>(Lambda )</span>CDM in describing cosmic acceleration.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-21DOI: 10.1007/s12043-026-03161-0
S. Medjenah, F. Benamira
{"title":"Study of the one-dimensional Schrödinger equation for a particle with position-dependent mass: Application of a Hulthén-type mass distribution and a Morse potential","authors":"S. Medjenah, F. Benamira","doi":"10.1007/s12043-026-03161-0","DOIUrl":"10.1007/s12043-026-03161-0","url":null,"abstract":"<div><p>This work provides an exact analytical solution for a particle with position-dependent mass in a generalized Morse-type potential. Using a Hulthén-type mass distribution and the von Roos symmetrization scheme, the model captures both molecular short-range effects and operator-ordering ambiguities. The problem is elegantly solved using supersymmetric quantum mechanics (SUSYQM), yielding closed-form energy spectra and bound-state wavefunctions expressed in terms of hypergeometric functions and Jacobi polynomials. The role of ambiguity parameters is clarified, with precise conditions ensuring the existence of bound states and the preservation of supersymmetry. Beyond its theoretical rigor, the framework offers a versatile tool for studying realistic systems such as heterostructures and molecules, and can be extended to other mass distributions and potentials.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-21DOI: 10.1007/s12043-026-03156-x
Gamze Kiratli, Mutlu Akar
{"title":"Investigation of Jacobi function solutions of the fractional Benjamin–Ono equation","authors":"Gamze Kiratli, Mutlu Akar","doi":"10.1007/s12043-026-03156-x","DOIUrl":"10.1007/s12043-026-03156-x","url":null,"abstract":"<div><p>This study investigates the fractional-order Benjamin–Ono equation by constructing a comprehensive set of analytical solutions based on Jacobi elliptic functions. Utilizing a wave transformation approach, eleven distinct exact solutions are derived, each corresponding to a different Jacobi elliptic function, including ‘sn’, ‘cn’, ‘dn’, ‘sc’, ‘sd’, and others. The resulting solutions are not only presented analytically but also examined through detailed graphical representations and physical interpretations. These analyses reveal the underlying dynamics of periodic, solitary, and blow-up type wave structures governed by fractional nonlocality. The diversity of wave profiles obtained highlights the flexibility and strength of the Jacobi elliptic framework in modeling complex, memory-driven behaviors in nonlinear fractional systems. This work provides a systematic and physically meaningful classification of solution types, contributing to the theoretical understanding of fractional wave phenomena and offering potential for future applications in dispersive and nonlocal media.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-21DOI: 10.1007/s12043-026-03146-z
JYOTI PRAKASH SHARMA, RAKESH KUMAR, PARAS RAM, KUPPALAPALLE VAJRAVELU
{"title":"Non-Newtonian hydromagnetic nanofluid flow past an inclined conical disk system","authors":"JYOTI PRAKASH SHARMA, RAKESH KUMAR, PARAS RAM, KUPPALAPALLE VAJRAVELU","doi":"10.1007/s12043-026-03146-z","DOIUrl":"10.1007/s12043-026-03146-z","url":null,"abstract":"<div><p>Conical disk systems play a crucial role in biomedical engineering, rheometer, viscometry, and advanced thermal devices due to their ability to regulate flow and transport processes. In this study, we investigate the nonlinear behavior of tangent hyperbolic nanofluid flow across an inclined conical disk configuration, which uniquely combines a stretchable disk with a rotatable cone under the influence of magnetohydrodynamic (MHD) effects. By employing similarity transformations, the governing nonlinear partial differential equations are reduced to a system of dimensionless ordinary differential equations, which are then solved numerically using MATLAB’s boundary value solver <i>bvp</i>5<i>c</i>. To further improve computational efficiency and predictive capability, a feed-forward backpropagation neural network is trained on the numerical results for heat and mass transfer rates. The results demonstrate that increasing the disk inclination angle intensifies radial flow, while simultaneously reducing thermal and solutal transfer rates by 34.47% and 13.12%, respectively. Moreover, thermal transfer is found to be convection-dominated on the conical surface, whereas conduction governs the disk surface.These findings provide new insights into the nonlinear MHD transport characteristics of tangent hyperbolic nanofluids and highlight the potential of the proposed configuration for optimizing flow and energy transfer in biomedical devices, conical diffusers, and thermal management systems.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-16DOI: 10.1007/s12043-026-03150-3
A. I. Egunjobi, A. O. Adelakun, K. S. Ojo, K. D. Ajayi
{"title":"Lyapunov direct control of a quartic nonlinearity-based Sprott-I system","authors":"A. I. Egunjobi, A. O. Adelakun, K. S. Ojo, K. D. Ajayi","doi":"10.1007/s12043-026-03150-3","DOIUrl":"10.1007/s12043-026-03150-3","url":null,"abstract":"<div><p>This research paper presents a newly improved Sprott-I system incorporating a quartic nonlinear term. The system’s dynamic behavior is analyzed through equilibrium points and stability criteria. At the same time, bifurcation diagrams and Lyapunov exponents are used to elucidate the route to chaos as variable parameters change. Using a power-electronic configuration, the system’s circuit implementation corroborates the analytical and numerical simulation results. Utilizing the Lyapunov direct control strategy, global chaos synchronization is achieved. The new system exhibits more complex dynamical behavior than the existing Sprott-I system, thereby enhancing its applicability in real-life contexts where chaos is advantageous. This advancement promises significant contributions to fields that require controlled chaotic behavior, such as secure communications, image encryption, and other practical applications.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-16DOI: 10.1007/s12043-026-03148-x
Dig Vijay Tanwar
{"title":"On Lie symmetries, invariant solutions, conservation laws and soliton dynamics of Nizhnik–Novikov–Veselov equation in oceanic shallow-water","authors":"Dig Vijay Tanwar","doi":"10.1007/s12043-026-03148-x","DOIUrl":"10.1007/s12043-026-03148-x","url":null,"abstract":"<div><p>The interaction of nonlinear waves in an inhomogeneous medium generally leads to temporal evolution in velocity, shape, or amplitude. Therefore, the study of solitary waves is prominent for re-emerging feature to its permanent structure after interaction. This work addresses the propagation dynamics of solitary waves for the NNV equation. It is a highly nonlinear two dimensional isotropic Lax integrable generalization of the well-known KdV equation. The symmetry reductions under infinitesimals and the generalized exact solutions of the NNV equation have been well investigated using the Lie symmetry method. The infinitesimals under a one-parameter group of transformations preserve invariance of the test equation and yield symmetry reductions. The twice implementation of symmetry reductions results in a system of ODEs. This system of ODEs is integrated under parametric constraints and provides exact solutions. These solutions are entirely new and more general than previously reported results, owing to arbitrary functions <span>(f_1(t))</span>, <span>(f_2(t))</span>, and <span>(f_3(t))</span>, as well as several constants. The generalness of derived results are ensured with deductions of previous results [8, 10,11,12]. To understand the propagation properties of wave phenomena, these solutions are extended to include a graphical representation, which reveals a novel class of solitons and lump solutions. Moreover, adjoint equations and conserved vectors are derived under the Lagrangian formulation using Ibragimov’s method for each generator.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-16DOI: 10.1007/s12043-026-03151-2
G. Tripathy, P. Mohanty, A. Anupam, C. Dash, B. B. Sahu
{"title":"Neutron shell effects and decay mode competition in (mathbf {^{238text {--}338}{{textbf {H}}s}}) isotopes","authors":"G. Tripathy, P. Mohanty, A. Anupam, C. Dash, B. B. Sahu","doi":"10.1007/s12043-026-03151-2","DOIUrl":"10.1007/s12043-026-03151-2","url":null,"abstract":"<div><p>We study the shell closure, alpha-decay and cluster-decay (<span>(^{8})</span>Be, <span>(^{12})</span>C, <span>(^{14})</span>C, <span>(^{16})</span>O) of even-even <span>(^{238text {--}338}textrm{Hs}_{108})</span> isotopes using relativistic mean field (RMF) model within an axially deformed oscillator basis with two force parameter sets like NL3* and NL-SH. In this article, the bulk properties such as binding energy (BE), rms charge radius, quadrupole deformation, neutron skin thickness, three neutron pairing gap for charge radius, two neutron separation energies (<span>(S_{2n})</span>), differential variation of two neutron separation energy (<span>(dS_{2n})</span>) and neutron pairing gap using three-, four- and five-point formulae have also been investigated thoroughly for the above mentioned isotopic series. Half-life periods are determined using the Viola-Seaberg, Royer, MUDL, UDL-1, UDL-2, Santosh <i>et al</i>. and unified formula by Ni <i>et al</i>. using calculated and experimentally accessible <i>Q</i>-values. For the prediction of the favorable decay mode of the isotopic series, the spontaneous fission half-life is also calculated by using two different formulas that are independent of force parameters. All the outcomes are compared with available experimental data. We found <span>(^{270})</span>Hs is a comparably stable isotope of Hs with other possible shell closures at <span>({N} =138)</span>, 142, 154, 162, 166, 182, 184, 186, 210, 220, 222. This study helps us to understand the shell and subshell closures of even-even Hassium isotopes and their preferred decay modes.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-09DOI: 10.1007/s12043-026-03131-6
Yingjun Bao, Taogetusang Bao
{"title":"Research on the Lax integrability of the (3 + 1)-dimensional BKP-Boussinesq equation","authors":"Yingjun Bao, Taogetusang Bao","doi":"10.1007/s12043-026-03131-6","DOIUrl":"10.1007/s12043-026-03131-6","url":null,"abstract":"<div><p>Based on the Bell polynomial method, the (<span>(3+1)</span>)-dimensional BKP-Boussinesq equation is first transformed into a bilinear form. Then, the Lax integrability and the nonlinear superposition formula of solutions for this equation are derived. Secondly, using the trial-function method and the symbolic computation system Mathematica, several new exact solutions of this equation are obtained. Finally, by choosing suitable parameters, three-dimensional graphs and contour plots of the exact solutions are generated to analyze their properties and characteristics.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
PramanaPub Date : 2026-07-06DOI: 10.1007/s12043-026-03155-y
Metin Aktas, Biswanath Rath, Ramazan Sever
{"title":"Generalized approach to applications of quantum time-dependent harmonic oscillator model with variable mass and frequency via dynamical invariant formalism","authors":"Metin Aktas, Biswanath Rath, Ramazan Sever","doi":"10.1007/s12043-026-03155-y","DOIUrl":"10.1007/s12043-026-03155-y","url":null,"abstract":"<div><p>This article offers complete analytical solutions to the one-dimensional time-dependent Schrödinger equation for an explicit frequency-dependent factor with time-varying mass and frequency by implementing the Lewis-Riesenfeld (LR) dynamical invariance procedure. The present approach proposes a dynamically quantum-invariant phase factor for the wave function of the time-dependent harmonic oscillator model. In this context, a time-dependent system is often transformed into a time-independent one via an integral of motion under appropriate unitary transformations. Various cases of oscillatory systems involving time-dependent mass and frequency forms are also examined algebraically. As a result, the corresponding analytical solutions of the Pinney equation can be employed in nonlinear configuration analyses of such systems.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}