Numerical Simulation of Rogue Waves by the Local Discontinuous Galerkin Method

doi:10.1088/0256-307X/31/4/040201

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Abstract：We study rogue waves described by nonlinear Schr?dinger 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.

收稿日期: 2013-11-14 出版日期: 2014-03-25

:	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	02.70.Dh	(Finite-element and Galerkin methods)
	47.11.Fg	(Finite element methods)
	47.35.Fg	(Solitary waves)

引用本文:

. [J]. 中国物理快报, 2014, 31(04): 40201-040201.
CAI Wen-Jun, WANG Yu-Shun, SONG Yong-Zhong. Numerical Simulation of Rogue Waves by the Local Discontinuous Galerkin Method. Chin. Phys. Lett., 2014, 31(04): 40201-040201.

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https://cpl.iphy.ac.cn/CN/10.1088/0256-307X/31/4/040201 或 https://cpl.iphy.ac.cn/CN/Y2014/V31/I04/40201

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