Numerical Simulation of Rogue Waves by the Local Discontinuous Galerkin Method

We study rogue waves described by nonlinear Schr6dinger equations. Such wave solutions are so different from conventional soliton solutions that classic methods such as the Crank-Nicolson scheme cannot work for these cases. Fortunately, we find that the local discontinuous Galerkin method equipped w...

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Bibliographic Details
Published in:Chinese physics letters 2014-04, Vol.31 (4), p.1-4
Main Authors: Cai, Wen-Jun, Wang, Yu-Shun, Song, Yong-Zhong
Format: Article
Language:English
Subjects:
Boundary conditions
Computer simulation
Dirichlet problem
Dirichlet边界条件
Galerkin methods
Mathematical models
Nonlinearity
Schroedinger equation
孤立波解
局部间断Galerkin方法
数值模拟
数值算例
有限元方法
经典方法
非线性
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Summary:We study rogue waves described by nonlinear Schr6dinger equations. Such wave solutions are so different from conventional soliton solutions that classic methods such as the Crank-Nicolson scheme cannot work for these cases. Fortunately, we find that the local discontinuous Galerkin method equipped with Dirichlet boundary conditions can simulate rogue waves very well. Several numerical examples are presented to show such interesting wave solutions.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/4/040201