IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-07-06 DOI: 10.1007/s12043-026-03134-3

Abirami Karunanidhi, Mohanasubha Ramasamy, S. Saravanakumar, Karthikeyan Rajagopal

{"title":"Exploring sensitive vibrational resonance in coupled bistable oscillators","authors":"Abirami Karunanidhi, Mohanasubha Ramasamy, S. Saravanakumar, Karthikeyan Rajagopal","doi":"10.1007/s12043-026-03134-3","DOIUrl":"10.1007/s12043-026-03134-3","url":null,"abstract":"<div><p>We study the phenomenon of sensitive vibrational resonance in driven coupled bistable Duffing oscillators under both non-diffusive and diffusive coupling schemes. By analyzing the system’s response with varying high-frequency force amplitude (<i>g</i>), we uncover distinct vibrational behaviors in the slow and fast variable oscillators. The resonance peaks and response amplitudes are shown to depend strongly on initial states of the system with multistable vibrational states emerging within specific parameter regions. These states are highly sensitive to initial conditions, enabling tunable dynamics and switching behavior between maximal, zero, and limiting responses. We report the emergence of a novel hysteresis loop in both fast and slow variable oscillators, where the system’s response depends on initial conditions and its dynamical history. As the parameter <i>g</i> increases, the system exhibits resonance behavior, whereas decreasing <i>g</i> results in a constant response that remains largely independent of <i>g</i> within the hysteresis regime. This phenomenon occurs across both coupling schemes examined. The observed sensitive vibrational resonance properties have potential implications for applications requiring precise control of signal amplification, filtering, or dynamic switching, such as in neural signal processing, mechanical sensing, vibration isolation, and secure communication 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":"148465192","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}

引用次数: 0

Correction: Lie group method and its invariants for the extended (3+1)-dimensional dispersive Kairat-X equation 修正：扩展（3+1）维色散Kairat-X方程的李群法及其不变量

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-07-06 DOI: 10.1007/s12043-026-03162-z

M Usman, Akhtar Hussain, M Umar Farooq

引用次数: 0

Signal of extra gauge boson in 3-3-1 model via Higgs-strahlung process 希格斯-斯特劳过程中3-3-1模型中超规玻色子的信号

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-07-03 DOI: 10.1007/s12043-026-03138-z

B. Sree Vidhya, Aparna Dixit, Akhilesh Ranjan

引用次数: 0

Correction: Laser power-dependent squeezing in optical quadratures: insights for quantum information processing 修正：光正交中激光功率依赖的压缩：量子信息处理的见解

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-07-03 DOI: 10.1007/s12043-026-03141-4

Lokesh Sharma, Priya Mudgal, Shobha Sharma, Deepti Sharma, Debabrata Sikdar

引用次数: 0

Effect of Bernoulli on the properties of the Ising model in fractal geometry based on the boundary conditions 基于边界条件的分形几何中伯努利对Ising模型性质的影响

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-07-03 DOI: 10.1007/s12043-026-03140-5

Mohamed Mubarak, Yasmin Amin, Magdy E. Amin

引用次数: 0

Soliton and lump solutions of the Esteves–Mansfield–Clarkson equation and learning the equation based on extended GPINN Esteves-Mansfield-Clarkson方程的孤子解和块解以及基于扩展GPINN的方程学习

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-07-03 DOI: 10.1007/s12043-026-03137-0

Yingying Zhang, Xiaohan Gong, Xiaoshu Xie, Xiangpeng Xin

{"title":"Soliton and lump solutions of the Esteves–Mansfield–Clarkson equation and learning the equation based on extended GPINN","authors":"Yingying Zhang, Xiaohan Gong, Xiaoshu Xie, Xiangpeng Xin","doi":"10.1007/s12043-026-03137-0","DOIUrl":"10.1007/s12043-026-03137-0","url":null,"abstract":"<div><p>The Estevez–Mansfield–Clarkson (EMC) equation is a model equation that can be used to study and explain shallow water waves in fluid dynamics. This paper analyzes the Estevez–Mansfield–Clarkson equation, discusses its analytical solutions (including soliton solutions and lump solutions), and uses the Physics-Informed Neural Network (PINN) and the proposed Extension Physics-Informed Graph Neural Network (EGPINN) to learn the solved soliton solutions, respectively, with a comparison of the prediction results. Firstly, the multi-soliton solutions of the equation, including one-soliton, two-soliton, and three-soliton structures, are successfully derived using the Hirota bilinear method. The formation mechanism and propagation characteristics of the soliton solutions are analyzed in detail, and the laws governing the interaction between solitons are revealed. Then, the lump solutions of the equation are obtained using the positive quadratic function method, with in-depth analysis of the morphological evolution laws of the lump solutions under multivariate conditions and their physical connotations. Finally, PINN and EGPINN are used to learn the soliton solutions derived by the Hirota bilinear method. The research conclusions deepen the theoretical understanding of the solution space characteristics of the Estevez–Mansfield–Clarkson equation, provide a theoretical basis for understanding nonlinear phenomena such as the propagation, interaction, and waveform evolution of shallow water waves, and show application prospects in cutting-edge fields such as plasma physical processes, fluid turbulence mechanisms, and nonlinear optical effects.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380492","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}

引用次数: 0

Abundant closed-form solutions of coupled modified Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equations through two newly designed analytical techniques 用两种新设计的解析方法求解耦合修正Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff方程的丰富闭型解

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-06-29 DOI: 10.1007/s12043-026-03142-3

Chaman Singh, Anshu Kumar

{"title":"Abundant closed-form solutions of coupled modified Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equations through two newly designed analytical techniques","authors":"Chaman Singh, Anshu Kumar","doi":"10.1007/s12043-026-03142-3","DOIUrl":"10.1007/s12043-026-03142-3","url":null,"abstract":"<div><p>This work focuses on nonlinear partial differential equations (NPDEs) and methods to derive solitary wave solutions, which are vital for studying wave phenomena. Two approaches, the generalized Kudryashov technique and the generalized exponential rational function (GERF) method, are utilized to derive precise solutions. The Kudryashov method identifies solutions by substituting specific forms, while the GERF approach involves functions with exponential or rational structures. Together, these methods provide useful tools for analyzing complex behaviors in various physical systems. The model is observed to have multiple solitons, lump-type solitons, bell-type solitons, kink-type solitons, oscillating multi-soliton wave solutions, line solitons, and exponential function solutions. The literature has never included any of these obtained solutions for this model. The mKdV-CBSEs is a prominent model with considerable benefits in many areas of physics. The graphical interpretation of the solutions is also depicted through three-dimensional and two-dimensional figures. The findings exhibit complex physical patterns that contribute to understanding nonlinear wave behaviors in soliton theory and plasma physics. These findings are novel, highly encouraging for future research, and establish a strong foundation for solving nonlinear evolution equations (NLEEs) compared to previous literature.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380833","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}

引用次数: 0

Effects of Cairns distributed ions on linear dust acoustic waves in an inhomogeneous space plasma 凯恩斯分布离子对非均匀空间等离子体中线性尘埃声波的影响

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-06-29 DOI: 10.1007/s12043-026-03147-y

Chitrita Dasgupta, Pritam Paul, Vivek Kumar Shaw

引用次数: 0

On the integrability of a modified coupled sextic anharmonic oscillators 一类修正耦合六次非谐振子的可积性

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-06-23 DOI: 10.1007/s12043-026-03132-5

C. Uma Maheswari, N. Muthuchamy

引用次数: 0

Exploration of the mechanism of fusion excitation function in heavy ion fusion 重离子聚变中聚变激发作用机理的探讨

IF 2.3 4区物理与天体物理

Pramana Pub Date : 2026-06-23 DOI: 10.1007/s12043-026-03136-1

H. C. Manjunatha, P. S. Damodara Gupta, N. Manjunath

{"title":"Exploration of the mechanism of fusion excitation function in heavy ion fusion","authors":"H. C. Manjunatha, P. S. Damodara Gupta, N. Manjunath","doi":"10.1007/s12043-026-03136-1","DOIUrl":"10.1007/s12043-026-03136-1","url":null,"abstract":"<div><p>This study investigates the synthesis of superheavy elements through various fusion reactions, focusing on optimizing the conditions for successful production. By analyzing the excitation functions for reactions such as <span>(^{48}text {Ca} + ^{244}text {Pu})</span>, <span>(^{48}text {Ca} + ^{248}text {Cm})</span>, <span>(^{36}text {S} + ^{238}text {U})</span>, <span>(^{48}text {Ca} + ^{238}text {U})</span>, and <span>(^{50}text {Ti} + ^{249}text {Cf})</span>, we examine the compound nucleus formation probability (<span>(P_textrm{CN})</span>), survival probability (<span>(W_textrm{sur})</span>), fusion cross-section (<span>(sigma _textrm{fus})</span>), and evaporation residue cross-section (<span>(sigma _textrm{ER})</span>). The peak in <span>(sigma _textrm{ER})</span> aligns with the optimal energy range, supported by the quasi-elastic barrier distribution. The present hypothesis is applied to the Ti + Cf fusion reaction for the synthesis of the superheavy element 120. It predicts a maximum cross section of 86.8 fb at an optimal energy of <span>(225 pm 2)</span> MeV. These findings are crucial for maximizing the synthesis of superheavy elements and demonstrate that energy optimization enhances the formation of evaporation residues.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323415","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}

引用次数: 0

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