Results 31 to 40 of about 33,812 (321)
Nonintegrable Schrödinger discrete breathers [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2004 In an extensive numerical investigation of nonintegrable translational motion of discrete breathers in nonlinear Schrödinger lattices, we have used a regularized Newton algorithm to continue these solutions from the limit of the integrable Ablowitz–Ladik lattice.
Gómez-Gardeñes, J. +3 more
openaire +3 more sources
Chaotic transients in the switching of roto-breathers [PDF]
, 2001 By integrating a set of model equations for Josephson ladder subjected to a uniform transverse bias current we have found almost all of the kinds of breathers described in recent experiments, and closely reproduced their voltage-current characteristics ...
Aubry +18 more
core +2 more sources
Excitement of solitons in the interaction of kinks of sine-Gordon equation with attracting impurity [PDF]
Компьютерные исследования и моделирование, 2012 We investigate analytically and numerically the structure and properties of localized two- and three-kink solutions of the sine-Gordon equation, which are excited in the region of the attracting impurity.
Evgeniy Grigorevich Ekomasov +2 more
doaj +1 more source
Discrete soliton collisions in a waveguide array with saturable nonlinearity [PDF]
, 2005 We study the symmetric collisions of two mobile breathers/solitons in a model for coupled wave guides with a saturable nonlinearity. The saturability allows the existence of breathers with high power.
Cuevas, J, Eilbeck, JC
core +2 more sources
New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation
Abstract and Applied Analysis, 2014 A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and ...
Changfu Liu +3 more
doaj +1 more source
Multiple Soliton Interactions on the Surface of Deep Water
Fluids, 2020 The paper presents the long-time dynamics with multiple collisions of breathers in the super compact Zakharov equation for unidirectional deep water waves. Solutions in the form of breathers were found numerically by the Petviashvili method. In the terms
Dmitry Kachulin +2 more
doaj +1 more source
Nonlinear localized modes in two-dimensional hexagonally-packed magnetic lattices
New Journal of Physics, 2021 We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets.
Christopher Chong +8 more
doaj +1 more source
Construction of higher-order smooth positons and breather positons via Hirota’s bilinear method
Nonlinear dynamics, 2021 Based on the Hirota’s bilinear method, a more classic limit technique is perfected to obtain second-order smooth positons. Immediately afterwards, we propose an extremely ingenious limit approach in which higher-order smooth positons and breather ...
Zhao Zhang +3 more
semanticscholar +1 more source
Optomechanical Akhmediev Breathers
Laser & Photonics Reviews, 2018 AbstractThe Akhmediev breather has attracted considerable attention over the past decades in various fields such as hydrodynamics, plasma physics, and nonlinear optics because of its wide applications and its importance in understanding nonlinear coherent phenomena.
Xiong, Hao, Wu, Ying
openaire +2 more sources
Multi-breather solutions to the Sasa–Satsuma equation [PDF]
Proceedings of the Royal Society A, 2021 General breather solution to the Sasa–Satsuma equation (SSE) is systematically investigated in this paper. We firstly transform the SSE into a set of three Hirota bilinear equations under a proper plane wave boundary condition.
Chengfa Wu +3 more
semanticscholar +1 more source