Numerical Simulation of Rogue Waves by the Local Discontinuous Galerkin Method

被引：8
|
作者：
Cai Wen-Jun [1 ]
Wang Yu-Shun [1 ]
Song Yong-Zhong [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math & Sci, Jiangsu Prov Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2014年 / 31卷 / 04期
基金：
中国国家自然科学基金;
关键词：
We study rogue waves described by nonlinear Schrödinger 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. © 2014 Chinese Physical Society and IOP Publishing Ltd;
D O I：
10.1088/0256-307X/31/4/040201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study rogue waves described by nonlinear Schrodinger 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.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] Simulation study of planar and nonplanar super rogue waves in an electronegative plasma: Local discontinuous Galerkin method
    El-Tantawy, S. A.
    Aboelenen, Tarek
    [J]. PHYSICS OF PLASMAS, 2017, 24 (05)
  • [2] Numerical simulation of seismic wave equation by local discontinuous Galerkin method
    Lian Xi-Meng
    Zhang Rui-Xuan
    [J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2013, 56 (10): : 3507 - 3513
  • [3] Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method
    Zhang, Qiang
    Wu, Zi-Long
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2009, 38 (02) : 127 - 148
  • [4] Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method
    Qiang Zhang
    Zi-Long Wu
    [J]. Journal of Scientific Computing, 2009, 38 : 127 - 148
  • [5] Numerical solution of the Burgers' equation by local discontinuous Galerkin method
    Zhao Guo-Zhong
    Yu Xi-Jun
    Wu Di
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (12) : 3671 - 3679
  • [6] Discontinuous galerkin method for numerical simulation of dynamic processes in solids
    Miryaha V.A.
    Sannikov A.V.
    Petrov I.B.
    [J]. Mathematical Models and Computer Simulations, 2015, 7 (5) : 446 - 455
  • [7] The discontinuous Galerkin method for the numerical simulation of compressible viscous flow
    Cesenek, Jan
    [J]. EFM13 - EXPERIMENTAL FLUID MECHANICS 2013, 2014, 67
  • [8] A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography
    Chung, Eric T.
    Lam, Chi Yeung
    Qian, Jianliang
    [J]. GEOPHYSICS, 2015, 80 (04) : T119 - T135
  • [9] Numerical simulation of Allen-Cahn equation with nonperiodic boundary conditions by the local discontinuous Galerkin method
    Chand, Abhilash
    Ray, S. Saha
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2023, 37 (02):
  • [10] Numerical simulation of free explosion in air using discontinuous Galerkin method
    Ye, K.
    Li, L.
    Gebbelken, N.
    [J]. PROCEEDINGS OF THE 7TH INTERNATIONAL CONFERENCE ON SHOCK & IMPACT LOADS ON STRUCTURES, 2007, : 699 - +
12345