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Dynamics of breather, multi-wave, interaction and other wave solutions to the new (3+1)-dimensional integrable fourth-order equation for shallow water waves

International Journal of Numerical Methods for Heat & Fluid Flow, 2023
Purpose The purpose of this paper is to study the new (3 + 1)-dimensional integrable fourth-order nonlinear equation which is used to model the shallow water waves.
Kang-Kang Wang
semanticscholar   +1 more source

Lump, mixed lump-stripe, mixed rogue wave-stripe and breather wave solutions for a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation

, 2020
In this paper, the investigation is made on a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation.
Shao-Hua Liu   +5 more
semanticscholar   +1 more source

Spin Wave Breathers in 3He B

1979
We have already reported elsewhere [1] a short study of the following problems: the solution of the double sine-Gordon equations [2,3,4] $$ \mathop {\text{u}}\nolimits_{\text{xx}} - \mathop {\text{u}}\nolimits_{\text{tt}} \text{ = }\; \mp \;(\sin {\text{u}} + \frac{1} {2}\lambda {\text{sin}}\frac{1} {2}{\text{u}}) $$ (1) for boundary ...
P. W. Kitchenside   +2 more
openaire   +1 more source

The solitary waves, breather waves and rogue waves for a generalized nonlinear equation

Modern Physics Letters B, 2019
Under investigation in this work is a generalized nonlinear equation, which can be widely applied to describe various phenomena in nonlinear physical science field. The equation can be reduced to Kadomtsev–Petviashvili-type equations and Jimbo–Miwa-type equations as its special cases.
Hui Wang   +3 more
openaire   +1 more source

Breather wave solutions for the Kadomtsev‐Petviashvili equation with variable coefficients in a fluid based on the variable‐coefficient three‐wave approach

Mathematical methods in the applied sciences, 2019
Herein, the Kadomtsev‐Petviashvili equation with variable coefficients is investigated, which describes the long waves with small amplitude and slow dependence on the transverse coordinate in a single‐layer shallow fluid.
Jian-Guo Liu, Wen-Hui Zhu, Li Zhou
semanticscholar   +1 more source

Homoclinic breather-wave solutions for Sine–Gordon equation

Communications in Nonlinear Science and Numerical Simulation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dai, Zhengde, Xian, Daquan
openaire   +2 more sources

BIFURCATIONS OF TRAVELING WAVE AND BREATHER SOLUTIONS OF A GENERAL CLASS OF NONLINEAR WAVE EQUATIONS

International Journal of Bifurcation and Chaos, 2005
Bifurcations of a general class of traveling wave solutions are analyzed. In particular, the existence of solitary wave, kink and anti-kink wave solutions, and uncountably infinite periodic wave solutions and breather solutions of a general class of traveling wave equations is proved. Also, the existence of breaking wave solution is discussed in detail.
Jibin Li 0001, Guanrong Chen
openaire   +2 more sources

Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrodinger equation from Heisenberg ferromagnetism

Rocky Mountain Journal of Mathematics, 2019
In this paper, we consider an inhomogeneous fifth-order nonlinear Schrödinger equation from Heisenberg ferromagnetism, which describes the dynamics of a site-dependent Hisenberg ferromagnetic spin chain.
Lian-Li Feng   +2 more
semanticscholar   +1 more source

Breather wave, lump type and interaction solutions for a high dimensional evolution model

Chaos, Solitons & Fractals, 2023
Na Cao   +3 more
semanticscholar   +1 more source

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