Results 241 to 250 of about 3,940,396 (270)

Multi-wave, breather wave, and interaction solutions of the Hirota–Satsuma–Ito equation

The European Physical Journal Plus, 2020
Under investigation is a (2+1)-dimensional generalized Hirota–Satsuma–Ito (gHSI) equation. Multi-wave solutions are presented using the three-wave method. Breather wave solutions are derived based on the homoclinic breather approach. Interaction solutions between lump and two solitary wave solutions are constructed via Hirota direct method.
Jian-Guo Liu, Wen-Hui Zhu, Li Zhou
openaire   +1 more source

Rogue-wave and breather solutions of the Fokas–Lenells equation on theta-function backgrounds

Applied Mathematics Letters, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruomeng Li, Jingru Geng, Xianguo Geng
openaire   +1 more source

Heteroclinic Breather-Wave Solutions for Davey–Stewartson Equation

Communications in Theoretical Physics, 2010
Exact heteroclinic breather-wave solutions for Davey–Stewartson (DSI, DSII) system with periodic boundary condition are constructed using Hirota's bilinear form method and generalized ansatz method. The heteroclinic structure of wave is investigated.
Liu Jun, Dai Zheng-De, Lin Song-Qing
openaire   +1 more source

Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation

Applied Mathematics Letters, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bo-Jie Deng, Hui-Qin Hao
openaire   +1 more source

Solitary wave solution, breather wave solution and rogue wave solution for a KP-equation

In this paper, we investigate KP equation by the Hirota bilinear method and obtain its bilinear form successfully. On the basis of above bilinear form, a number of explicit solutions including one-solitary wave solution, two-solitary wave solution and their generalized form N-solitary wave solution are obtained successfully.
Zhenjie Niu, Zenggui Wang
openaire   +1 more source

An N-breather solution and hybrid solutions of rogue wave and breather for complex mKdV equation

Chinese Physics B
Abstract A compact Grammian form for N-breather solution to the complex mKdV equation is derived using the bilinear Kadomtsev–Petviashvili hierarchy reduction method. The propagation trajectory, period, maximum points, and peak value of the 1-breather solution are calculated.
Wenjing 文静 Hu 胡, Hasi 根哈斯 Gegen 葛   +1 more
openaire   +1 more source

Multiple rogue wave and breather solutions for the (3+1)-dimensional KPI equation

Computers & Mathematics with Applications, 2018
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Wenying Cui, Zhaqilao
openaire   +3 more sources

Note on Breather Type Solutions of the NLS as Models for Freak-Waves

Physica Scripta, 1999
Some breather type solutions of the NLS equation have been suggested by Henderson et al (to appear in Wave Motion) as models for a class of 'freak' wave events seen in 2D-simulations on surface gravity waves. In this paper we first take a closer look on these simple solutions and compare them with some of the simulation data (Henderson et al to appear ...
Kristian B. Dysthe, Karsten Trulsen
openaire   +1 more source

A Kundu–nonlinear Schrödinger equation: Rogue waves, breathers, and mixed interaction solutions

Chaos: An Interdisciplinary Journal of Nonlinear Science
A Kundu–nonlinear Schrödinger equation that can be utilized to simulate the pulse propagation in optical fibers is researched in this paper. First, the Lax integrability of the above equation is proved and its modulational instability (i.e., the main mechanism for producing the rogue wave solutions and the breather solutions) is calculated ...
Xuejie Zhang, Qiulan Zhao
openaire   +2 more sources

Rogue wave solutions and rogue-breather solutions to the focusing nonlinear Schrödinger equation

Communications in Theoretical Physics
Abstract Based on the long wave limit method, the general form of the second-order and third-order rogue wave solutions to the focusing nonlinear Schrödinger equation are given by introducing some arbitrary parameters. The interaction solutions between the first-order rogue wave and one-breather wave are constructed by taking a long wave
Si-Jia Chen, Xing Lü
openaire   +2 more sources