NUMERICAL ANALYSIS OF THE (2+1)-DIMENSIONAL BOITI-LEON-PEMPINELLI EQUATION

被引:3
作者
Lu, Jun-Feng [1 ]
机构
[1] Zhejiang Gongshang Univ, Hangzhou Inst Commerce, Hangzhou, Zhejiang, Peoples R China
来源
THERMAL SCIENCE | 2017年 / 21卷 / 04期
关键词
Boiti-Leon-Pempinelli equation; soliton solution; modified variational iteration method; TRAVELING-WAVE SOLUTIONS;
D O I
10.2298/TSCI160715050L
中图分类号
O414.1 [热力学];
学科分类号
摘要
The (2+1)-dimensional Boiti-Leon-Pempinelli equation is studied by the modified variational iteration method. The numerical solutions to its initial value problem are provided and compared with the exact soliton solutions. The present theory offers an in-depth physical understanding of hydrodynamic properties of non-linear wave equations.
引用
收藏
页码:1657 / 1663
页数:7
相关论文
共 11 条
[1]   Toward a modified variational iteration method [J].
Abassy, Tamer A. ;
El-Tawil, Magdy A. ;
El Zoheiry, H. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :137-147
[2]   INTEGRABLE TWO-DIMENSIONAL GENERALIZATION OF THE SINE-GORDON EQUATION AND SINH-GORDON EQUATION [J].
BOITI, M ;
LEON, JJP ;
PEMPINELLI, F .
INVERSE PROBLEMS, 1987, 3 (01) :37-49
[3]   Novel interactions between semi-foldons of the (2+1)-dimensional Boiti-Leon-Pempinelli equation [J].
Dai, Chao-Qing ;
Ni, Yong-Zhou .
PHYSICA SCRIPTA, 2006, 74 (05) :584-590
[4]  
He J.H., 1997, Communications in Nonlinear Science and Numerical Simulation, V2, P235
[5]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
[6]   Exact travelling wave solutions for the Boiti-Leon-Pempinelli equation [J].
Huang, DJ ;
Zhang, HQ .
CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :243-247
[7]   ANALYTICAL APPROACH TO A GENERALIZED HIROTA-SATSUMA COUPLED KORTEWEG-DE VRIES EQUATION BY MODIFIED VARIATIONAL ITERATION METHOD [J].
Lu, Jun-Feng ;
Ma, Li .
THERMAL SCIENCE, 2016, 20 (03) :885-888
[8]   A new generalized algebra method and its application in the (2+1) dimensional Boiti-Leon-Pempinelli equation [J].
Ren, Yu-Jie ;
Liu, Shu-Tian ;
Zhang, Hong-Qing .
CHAOS SOLITONS & FRACTALS, 2007, 32 (05) :1655-1665
[9]   A variety of exact travelling wave solutions for the (2+1)-dimensional Boiti-Leon-Pempinelli equation [J].
Wazwaz, Abdul-Majid ;
Mehanna, Mona S. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) :1484-1490
[10]   FACTORIZATION OF THE (2+1)-DIMENSIONAL BLP INTEGRABLE SYSTEM BY THE PERIODIC FIXED-POINTS OF ITS BACKLUND-TRANSFORMATIONS [J].
WEISS, J .
PHYSICS LETTERS A, 1991, 160 (02) :161-165