Numerical Simulation of Rogue Waves by the Local Discontinuous Galerkin Method

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

Chin. Phys. Lett.

2014, Vol. 31

Issue (04): 040201 DOI: 10.1088/0256-307X/31/4/040201

GENERAL

Numerical Simulation of Rogue Waves by the Local Discontinuous Galerkin Method

CAI Wen-Jun, WANG Yu-Shun^**, SONG Yong-Zhong

Jiangsu Provincial Key Laboratory for NSLSCS, School of Mathematics and Sciences, Nanjing Normal University, Nanjing 210023

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CAI Wen-Jun, WANG Yu-Shun, SONG Yong-Zhong 2014 Chin. Phys. Lett. 31 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.

Received: 14 November 2013 Published: 25 March 2014

PACS:	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)

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

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