Volume 27, Issue 4, September 2020, Pages 592 - 615
Asymptotics behavior for the integrable nonlinear Schrödinger equation with quartic terms: Cauchy problem
Authors
Lin Huang
School of Science, Hangzhou Dianzi University, Hangzhou 310018, P. R. China,lin.huang@hdu.edu.cn&linhuang@kth.se
Received 10 August 2019, Accepted 3 January 2020, Available Online 4 September 2020.
- DOI
- 10.1080/14029251.2020.1819605How to use a DOI?
- Keywords
- Integrable nonlinear Schrödinger equation with quartic terms; Long-time asymptotics; Nonlinear steepest descent method
- Abstract
We consider the Cauchy problem of integrable nonlinear Schrödinger equation with quartic terms on the line. The first part of the paper considers the Riemann-Hilbert formula via the unified method(also known as the Fokas method). The second part of the paper establishes asymptotic formulas for the solution of initial value problem using the nonlinear steepest descent method(also known as the Deift-Zhou method).
- Copyright
- © 2020 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Lin Huang PY - 2020 DA - 2020/09/04 TI - Asymptotics behavior for the integrable nonlinear Schrödinger equation with quartic terms: Cauchy problem JO - Journal of Nonlinear Mathematical Physics SP - 592 EP - 615 VL - 27 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1819605 DO - 10.1080/14029251.2020.1819605 ID - Huang2020 ER -