Numerical inverse scattering for the sine-Gordon equation

被引：5
|
作者：
Deconinck, Bernard [1 ]
Trogdon, Thomas [2 ]
Yang, Xin [1 ]
机构：
[1] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
[2] Univ Calif Irvine, Dept Math, Irvine, CA 92717 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2019年 / 399卷
基金：
美国国家科学基金会;
关键词：
Sine-Gordon equation; Numerical inverse scattering transform; Riemann-Hilbert problem; Nonlinear steepest descent; RIEMANN-HILBERT PROBLEMS; STEEPEST DESCENT; ASYMPTOTICS;
D O I：
10.1016/j.physd.2019.05.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We implement the numerical inverse scattering transform (NIST) for the sine-Gordon equation in laboratory coordinates on the real line using the method developed by Trogdon et al. (2012). The NIST allows one to compute the solution at any x and t without having spatial discretization or time stepping. The numerical implementation is fully spectrally accurate. With the help of the method of nonlinear steepest descent, the NIST is demonstrated to be uniformly accurate. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：159 / 172
页数：14
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