1-Soliton solution and conservation laws for the Jaulent-Miodek equation with power law nonlinearity

被引:14
作者
Biswas, Anjan [1 ]
Kara, A. H. [2 ]
机构
[1] Delaware State Univ, Dept Math Sci, Appl Math Res Ctr, Ctr Res & Educ Opt Sci & Applicat, Dover, DE 19901 USA
[2] Univ Witwatersrand, Sch Math, ZA-2050 Wits, South Africa
关键词
Soliton solution; Conservation law; HAMILTONIAN-STRUCTURE; HIERARCHY;
D O I
10.1016/j.amc.2010.06.021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper obtains the 1-soliton solution of the Jaulent-Miodek equation with power law nonlinearity. The solitary wave ansatz is used to obtain the soliton solution to this equation. Subsequently, the conserved quantities are computed using the invariance and multiplier approach based on the well known result that the Euler-Lagrange operator annihilates the total divergence. (C) 2010 Elsevier Inc. All rights reserved.
引用
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页码:944 / 948
页数:5
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