Construction of multiple soliton solutions of the quintic nonlinear Schrodinger equation
Exactly Solvable and Integrable Systems
2020-04-03 v1 Mathematical Physics
math.MP
Abstract
In this paper, an extended nonlinear Schrodinger equation with higher-order that includes fifth-order dispersion with matching higher-order nonlinear terms is investigated under zero boundary condition at infinity. Carrying out the spectral analysis, a kind of matrix Riemann-Hilbert problem is formulated on the real axis. Then on basis of the resulting matrix Riemann-Hilbert problem under restriction of no reflection, multiple soliton solutions of the extended nonlinear Schrodinger equation are generated explicitly.
Keywords
Cite
@article{arxiv.2004.00905,
title = {Construction of multiple soliton solutions of the quintic nonlinear Schrodinger equation},
author = {Zhou-Zheng Kang and Tie-Cheng Xia},
journal= {arXiv preprint arXiv:2004.00905},
year = {2020}
}