Results 231 to 240 of about 554,383 (268)

DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF PRINCIPAL CHIRAL AND WZW MODELS

Modern Physics Letters A, 2011
In this paper we present Darboux transformation for the principal chiral and WZW models in two dimensions and construct multi-soliton solutions in terms of quasideterminants. We also establish the Darboux transformation on the holomorphic conserved currents of the WZW model and expressed them in terms of the quasideterminant.
Saleem, U., Hassan, M.
openaire   +2 more sources

The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation

Journal of Physics A: Mathematical and General, 2003
Summary: We provide a relatively simple approach to Bäcklund transformations for the derivative nonlinear Schrödinger equation. By iteration it leads to compact \(N\)-soliton formulae both with asymptotically vanishing and non-vanishing amplitudes. The phenomenology of these solutions is discussed and illustrated in some detail.
openaire   +2 more sources

Multi soliton solutions of the Fokas–Lenells equation using modified bilinear method and conservation laws

Journal of Optics, 2023
Sagardeep Talukdar, Riki Dutta, G. K. Saharia, S. Nandy   +3 more
semanticscholar   +1 more source

Reduction approach and three types of multi-soliton solutions of the shifted nonlocal mKdV equation

Nonlinear dynamics, 2022
Jianping Wu
semanticscholar   +1 more source

Exact multi-soliton solution of the Benjamin-Ono equation

Journal of Physics A: Mathematical and General, 1979
An exact multi-soliton of the Benjamin-Ono equation is presented. The asymptotic form of the solution for large time is also given.
openaire   +1 more source

Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann–Hilbert approach

Nonlinear dynamics, 2021
Han-Dong Guo, T. Xia
semanticscholar   +1 more source

Multi-soliton solutions of coupled nonlinear Schrödinger Equations

Chinese Physics Letters, 1987
The 1+1 and 1+1+1 soliton solutions with different polarization for coupled nonlinear Schrodinger (NLS) Equations have been obtained by using Bilinear Method. The asymptotic behaviour and the polarization of these solutions are discussed.
openaire   +1 more source

Novel resonant multi-soliton solutions and inelastic interactions to the (3 + 1)- and (4 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equations via the simplified linear superposition principle

, 2021
Chun-Ku Kuo
semanticscholar   +1 more source

Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation

Communications in nonlinear science & numerical simulation, 2021
Cui-Lian Yuan, Xiaoyong Wen
semanticscholar   +1 more source

Multi-soliton solutions of KP equation with integrable boundary via ∂¯-dressing method

Physica D: Nonlinear Phenomena, 2021
V G Dubrovsky
exaly