Results 201 to 210 of about 902,254 (275)
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Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies

Studies in applied mathematics (Cambridge), 2020
The aim of the paper is to construct nonlocal reverse‐space nonlinear Schrödinger (NLS) hierarchies through nonlocal group reductions of eigenvalue problems and generate their inverse scattering transforms and soliton solutions.
W. Ma, Yehui Huang, Fudong Wang
semanticscholar   +1 more source

N-soliton solutions to the modified Boussinesq equation

Journal of Shanghai University (English Edition), 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Qiong, Xia, Tiecheng, Chen, Dengyuan
openaire   +1 more source

N-soliton solutions for the nonlocal Fokas–Lenells equation via RHP

Applied Mathematics Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Jian, Xia, Tiecheng
openaire   +2 more sources

n-Soliton solution of the modified nonlinear Schrödinger equation

Optics Letters, 1990
An n-soliton solution of the modified nonlinear Schrödinger equation is presented, and its relationship to the nonlinear Schrödinger equation is given.
Z Y, Chen, N N, Huang
openaire   +2 more sources

PT-symmetric nonlocal Davey–Stewartson I equation: Soliton solutions with nonzero background

, 2020
Various solutions to the P T -symmetric nonlocal Davey–Stewartson (DS) I equation with nonzero boundary condition are derived by constraining different tau functions of the Kadomtsev–Petviashvili hierarchy combined with the Hirota bilinear method.
Jiguang Rao   +4 more
semanticscholar   +1 more source

Toda-type cellular automaton and its N-soliton solution

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matsukidaira, J.   +4 more
openaire   +2 more sources

Dynamics of lump–soliton solutions to the PT-symmetric nonlocal Fokas system

, 2021
We use the bilinear Kadomtsev–Petviashvili (KP) hierarchy reduction method for deriving new families of explicit lump-soliton solutions to the P T -symmetric nonlocal Fokas system.
Jiguang Rao   +3 more
semanticscholar   +1 more source

Elliptic N-soliton Solutions of ABS Lattice Equations

International Mathematics Research Notices, 2010
Elliptic N-soliton-type solutions, that is, solutions emerging from the application of N consecutive Backlund transformations to an elliptic seed solution, are constructed for all equations in the Adler-Bobenko-Suris (ABS) list of quadrilateral lattice equations, except for the case of the Q4 equation which is treated elsewhere.
F. Nijhoff, J. Atkinson
openaire   +1 more source

The N‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

Mathematical methods in the applied sciences, 2019
In this work, the Riemann‐Hilbert (RH) problem of the N‐coupled high‐order nonlinear Schrödinger (N‐CHNLS) equations is studied carefully, which controls the propagation of N fields with all high‐order effects such as high‐order dispersion, self ...
Jin-Jie Yang   +3 more
semanticscholar   +1 more source

N-soliton and quasi-periodic solutions of the KdV6 equations

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geng, Xianguo, Xue, Bo
openaire   +1 more source

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