Results 201 to 210 of about 554,383 (268)

Multi-Soliton Solutions of the Levi Equations

Chinese Physics Letters, 2009
The multisoliton solutions of the Levi equations are derived with the Hirota method and Wronskian technique respectively.
You Fu-Cai, Zhang Jiao, Hao Hong-Hai
openaire   +1 more source

Integrable discretizations of AB system and multi-soliton solutions

Communications in Nonlinear Science and Numerical Simulation, 2019
The ``AB-system'' is an integral system of two evolution equations of complex amplitudes \(A(x,t)\) and \(B(x,t)\), which apply to propagation of waves in hydrodynamics: \[ \begin{aligned} B_x+(1/2)(|a|^2)_t &= 0,\\ A_{xt} &= AB. \end{aligned} \] This system can be explicitly transformed into the integrable sine-Gordon equation.
Hira Sarfraz, Usman Saleem
openaire   +2 more sources

Multi-soliton solutions to the generalized Boussinesq equation of tenth order

2023
Summary: In the recent literature, many researchers are interested to apply standard computational methods for exact or numerical solutions of many classical nonlinear partial differential equations. Some leading methods are based on Lie group analysis, Painleve Analysis, G0/G expansion techniques, homotopy perturbation methods, and so on.
Kalegowda, Bharatha, Raghavachar, Rangarajan   +1 more
openaire   +2 more sources

Novel solitary and resonant multi-soliton solutions to the (3 + 1)-dimensional potential-YTSF equation

, 2021
In this study, the (3 + 1)-dimensional potential-Yu–Toda–Sasa–Fukuyama equation arising from the (3 + 1)-dimensional Kadomtsev–Petviashvili equation is investigated in detail by using two powerful approaches. First, the generalized resonant multi-soliton
Chun-Ku Kuo, Ying-Chung Chen, Chaolun Wu, Wei-Nan Chao   +3 more
semanticscholar   +1 more source

Multi-soliton Solutions of the Konopelchenko-Dubrovsky Equation

Chinese Physics Letters, 2001
By using the standard truncated Painleve analysis, a Backlund transformation is used to obtain some new types of multi-soliton solutions of the (2+1)-dimensional integrable Konopelchenko-Dubrovsky equation from the trivial vacuum solution.
Lin Ji, Lou Sen-Yue, Wang Ke-Lin
openaire   +1 more source

Novel singular and non-singular complexiton, interaction wave and the complex multi-soliton solutions to the generalized nonlinear evolution equation

Modern physics letters B
The main task of this paper is to plumb some new exact solutions of the (3 + 1)-dimensional generalized nonlinear evolution equation (gNEE) for shallow water waves.
Kang‐Jia Wang, Xiao-Lian Liu, Wei-Dong Wang, Shuai Li, Hong-Wei Zhu   +4 more
semanticscholar   +1 more source

Multi-Soliton Solutions for a Classical Ferromagnetic Chain

Communications in Theoretical Physics, 1983
In this paper we report the multisoliton solutions of Landau-Lifshitz's equation for a classical ferromagnetic chain and their asymptotic behaviors as well as the formulas of shifts of their phases and centers of mass. They include the single- and double soliton solutions as particular cases.
Pu Fucho, Zhou Xin, Li Bozang
openaire   +1 more source

Multi-soliton solutions and soliton molecules of the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation for the incompressible fluid

Europhysics letters
The (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (BLMPE) is explored in this letter. The multi-soliton solutions (MSSs) are probed via the Hirota bilinear form which is extracted by taking advantage of the Cole-Hopf transform.
Kang‐Jia Wang, Feng Shi
semanticscholar   +1 more source

Multi-soliton solutions in a finite depth fluid

Journal of Physics A: Mathematical and General, 1978
A systematic procedure for solving the Whitham equation in a two-layer fluid of finite depth is developed. An analytic solution which asymptotically evolves into exactly two solitons is exhibited. The characteristics of these solitons can be quite different from those resulting from the Korteweg-de Vries equation (the shallow water limit of the present
Joseph, R. I., Egri, Robert
openaire   +2 more sources

Multi soliton solutions, M-lump waves and mixed soliton-lump solutions to the awada-Kotera equation in (2+1)-dimensions

, 2020
In this research paper, the well-known simple Hirota’s method is employed to study the (2+1)-dimensional Sawad-Kotera equation. The logarithmic variable transformation is implemented on the proposed problem to construct the bilinear Hirota form. Based on
H. Ismael, H. Bulut
semanticscholar   +1 more source