Results 61 to 70 of about 27,126 (206)

Analytical Dynamics of Complex Soliton Structures Characterized by Hyperbolic, Trigonometric, and Jacobi Elliptic Solutions in the Coupled Higgs System

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work is devoted to the analytical investigation of the (1 + 1)‐dimensional coupled Higgs system, which arises in a spectrum of physical contexts including plasma physics, nonlinear optics, field theory, and hydrodynamic wave propagation. Understanding the exact wave behaviors supported by this system is crucial for revealing its nonlinear ...
Laila A. Al-Essa, Sonia Akram, Mati Ur Rahman, Khalid Aldawsari, Mehmet Yavuz, Smritijit Sen   +5 more
wiley   +1 more source

Localized coherent structures of Ishimori equation I through Hirota’s bilinearization method: Time dependent/stationary boundaries [PDF]

Chaos, Solitons & Fractals, 2007
Ishimori equation is a $(2+1)$ dimensional generalization of the $(1+1)$ dimensional integrable classical continuous Heisenberg ferromagnetic spin equation. The richness of the coherent structures admitted by Ishimori equation I such as dromion, lump and rationally- exponentially localized solutions, have been demonstrated in the literature through ...
Vijayalakshmi, S., Lakshmanan, M.
openaire   +2 more sources

The symmetric breathers and lumps of the Boussinesq equation using the Alice–Bob transformation and Hirota’s bilinear derivative method

Results in Physics, 2023
Many two-place physical problems can be explicitly presented as related events model named Alice–Bob systems. In this paper, an integrable Alice–Bob Boussinesq system is introduced via the Boussinesq equation with parameters, which may meet the symmetry transformation of Psˆx (parity with a shift) and Tdˆt (time reversal with a delay).
Li-Hong Jiang, Hong-Yu Wu, Peng Dong, Zheng-Yi Ma   +3 more
openaire   +2 more sources

New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation

Abstract and Applied Analysis, 2014
Based on the Hirota bilinear method and theta function identities, we obtain a new type of doubly periodic standing wave solutions for a coupled Higgs field equation.
Gui-qiong Xu
doaj   +1 more source

A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions

Nuclear Physics B, 2020
In this paper, a (2+1)-dimensional sine-Gordon equation and a sinh-Gordon equation are derived from the well-known AKNS system. Based on the Hirota bilinear method and Lie symmetry analysis, kink wave solutions and traveling wave solutions of the (2+1 ...
Gangwei Wang, Kaitong Yang, Haicheng Gu, Fei Guan, A.H. Kara   +4 more
doaj   +1 more source

Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation

Mathematical Modelling of Natural Phenomena, 2020
A generalized form of (2+1)-dimensional Hirota bilinear (2D-HB) equation is considered herein in order to study nonlinear waves in fluids and oceans.
M. Mirzazadeh, K. Hosseini, M. Aligoli, M. Eslami, M. Mirzazadeh, Jian‐Guo Liu   +5 more
semanticscholar   +1 more source

Dynamics of Computational Solitons: Modulation Instability, Bifurcation, Chaotic Nature With Different Chaos‐Detecting Tools, and Influence of Multiplicative Noise Intensity

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid, Mohamed Abdalla, M. S. Osman, Smritijit Sen   +3 more
wiley   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source

Solitonic wave solutions of a Hamiltonian nonlinear atom chain model through the Hirota bilinear transformation method

Open Physics
This study employs the Hirota bilinear transformation method to investigate solitary and soliton solutions resulting from different symmetry wave functions associated with nonlinear atom chain models. These models are complex dynamic systems that have an
Baboucarr Ceesay, M. Baber, Nauman Ahmed, Siegfried Macías, J. Macías-Díaz, M. G. Medina‐Guevara   +5 more
semanticscholar   +1 more source

Exact Traveling Wave Solutions of a Fractional Nonlinear Korteweg–de Vries Equation With Spatiotemporal Interaction Terms via the Atangana–Baleanu Operator

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the dynamical behavior of a nonlinear Korteweg–de Vries (KdV) equation incorporating second‐order spatiotemporal interaction terms within the framework of the Atangana–Baleanu fractional operator. The proposed model provides a generalized mathematical description of nonlinear wave propagation in dispersive media with memory ...
Saviour Worlanyo Akuamoah, Smritijit Sen
wiley   +1 more source