Long-time asymptotics for the nonlocal Kundu–nonlinear-Schrödinger equation by the nonlinear steepest descent method

We study the long-time asymptotics of the nonlocal Kundu–nonlinear-Schrödinger equation with a decaying initial value. The long-time asymptotics of the solution follow from the nonlinear steepest descent method proposed by Deift–Zhou and the Riemann–Hilbert method.

Saved in:
Bibliographic Details
Published inTheoretical and mathematical physics Vol. 213; no. 3; pp. 1706 - 1726
Main Authors Li, Jian, Xia, Tiecheng, Guo, Handong
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2022
Springer Nature B.V
Subjects
14/34
639/766/189
639/766/530
639/766/747
Applications of Mathematics
Asymptotic properties
Mathematical and Computational Physics
Physics
Physics and Astronomy
Schrodinger equation
Steepest descent method
Theoretical
long-time asymptotics
nonlocal Kundu–nonlinear-Schrödinger equation
Riemann–Hilbert method
nonlinear steepest descent method
Online AccessGet full text

Cover

More Information
Summary:We study the long-time asymptotics of the nonlocal Kundu–nonlinear-Schrödinger equation with a decaying initial value. The long-time asymptotics of the solution follow from the nonlinear steepest descent method proposed by Deift–Zhou and the Riemann–Hilbert method.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577922120054