Results 271 to 280 of about 1,408 (291)

Breathers, rogue waves and breather–rogue waves on a periodic background for the modified nonlinear Schrödinger equation

Wave Motion, 2022
Wu, Qing-Lin, Zhang, Hai-Qiang
openaire   +1 more source

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

Breather and soliton wave families for the sine–Gordon equation

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1998
Summary: The approach of Steuerwald-Lamb for obtaining exact solutions of the sine-Gordon equation is further developed through transformations by means of which complicated solutions of the corresponding ODEs are obtained without any explicit integration.
openaire   +1 more source

Traveling waves and breathers in an excitatory-inhibitory neural field

Physical Review E, 2017
We study existence and stability of traveling activity bump solutions in an excitatory-inhibitory (E-I) neural field with Heaviside firing rate functions by deriving existence conditions for traveling bumps and an Evans function to analyze their spectral stability. Subsequently, we show that these existence and stability results reduce, in the limit of
openaire   +2 more sources

Rogue waves and breathers in Heisenberg spin chain

The European Physical Journal B, 2015
Following the connection of the non-linear Schrodinger equation with the continuum Heisenberg spin chain, we find the rogue soliton equivalent in the spin system. The breathers are also mapped to the corresponding space or time localized oscillatory modes, through the moving curve analogy.
Aritra K. Mukhopadhyay, Vivek M. Vyas, Prasanta K. Panigrahi   +2 more
openaire   +1 more source

Experiments on breathers and rogue waves

2014
Communication on all the experiments made in the IRPHE/Pytheas facility abour ewtreme waves , breathers and solitary waves.
openaire   +1 more source

Breather, soliton and rogue wave of a two-component derivative nonlinear Schrödinger equation

Physics Letters, Section A: General, Atomic and Solid State Physics, 2021
Hui-Xian Jia, Da-Wei Zuo
exaly  

A ‘firewall’ effect during the rogue wave and breather interactions to the Manakov system

Nonlinear Dynamics, 2022
Bang-Qing Li, Yu-Lan Ma, Li Bang-Qing
exaly  

Characteristics of coexisting rogue wave and breather in vector nonlinear Schrödinger system

Applied Mathematics Letters, 2023
Da-Wei Zuo
exaly  

Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation

Applied Mathematics and Computation, 2020
Bang-Qing Li, Yu-Lan Ma
exaly