Results 281 to 290 of about 278,413 (313)

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, Shou‐Fu Tian, Tian‐Tian Zhang   +2 more
semanticscholar   +1 more source

Breather wave, rogue wave and lump wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid

Modern physics letters B, 2018
Under investigation in this paper is a (3[Formula: see text]+[Formula: see text]1)-dimensional generalized Kadomtsev–Petviashvili equation, which describes the long water waves and small-amplitude surface waves with the weak nonlinearity, weak dispersion
Ming-Zhen Li, B. Tian, Y. Sun, Xiaoyu Wu, Chen-Rong Zhang   +4 more
semanticscholar   +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

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

Computers & Mathematics with Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenying Cui, Zhaqilao
openaire   +2 more sources

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

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

Breather and Rogue Wave Solutions on the Different Periodic Backgrounds in the Focusing Nonlinear Schrödinger Equation

Studies in applied mathematics (Cambridge)
In this paper, we construct breather and rogue wave solutions on the different periodic backgrounds in the focusing nonlinear Schrödinger equation by using the Darboux transformation.
Fang-Cheng Fan, Wang Tang, Guo-Fu Yu
semanticscholar   +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

Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method

Nonlinear dynamics, 2022
Marwan Alquran, Rahaf Alhami
semanticscholar   +1 more source

Localized Wave and Other Special Wave Solutions to the (3 + 1)‐dimensional Kudryashov–Sinelshchikov Equation

Mathematical methods in the applied sciences
This paper aims to explore some different localized wave solutions to the (3 + 1)‐dimensional Kudryashov–Sinelshchikov equation (KSe) for the liquid with gas bubbles. First, the traveling wave transformation is employed to reduce the dimension of the (3 +
Kang‐Jia Wang, Shuai Li, Guo‐Dong Wang, Peng Xu, Feng Shi, Xiao-Lian Liu   +5 more
semanticscholar   +1 more source