Solitary waves and conservation laws of complex-valued Klein–Gordon equation in Φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Upphi$$\end{document}-4 field theory

被引:0
|
作者
A. Biswas
A. H. Kara
A. H. Bokhari
F. D. Zaman
机构
[1] Delaware State University,Department of Mathematical Sciences
[2] King Abdulaziz University,Department of Mathematics, Faculty of Science
[3] University of the Witwatersrand,School of Mathematics, Centre for Differential Equations Continuum Mechanics and Applications
[4] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
关键词
Solitary waves; Integrability; Conservation laws; 02.30.Jr; 05.45.Yv; 02.30.Ik;
D O I
10.1007/s12648-013-0415-0
中图分类号
学科分类号
摘要
In this paper, the ansatz method is used to obtain solitary wave solution, topological solitary wave solution and singular solitary wave solution of the complex valued Klein–Gordon equation with power law nonlinearity. The parameter domains are identified for each of these cases. Finally, the conserved densities for this equation are obtained using multiplier approach in Lie symmetry analysis. Subsequently, these densities integrate out to reveal conserved quantities of the equation.
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页码:311 / 315
页数:4
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