Conservation laws of coupled semilinear wave equations-Reference-Cited by-同舟云学术

Conservation laws of coupled semilinear wave equations

Published:2016-11-10 Issue:28n29 Volume:30 Page:1640004
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Anco Stephen C.¹,Khalique Chaudry Masood²

Affiliation:

1. Department of Mathematics and Statistics, Brock University, St. Catharines, ON L2S3A1, Canada

2. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, South Africa

Abstract

A complete classification of all low-order conservation laws is carried out for a system of coupled semilinear wave equations which is a natural two-component generalization of the nonlinear Klein–Gordon equation. The conserved quantities defined by these conservation laws are derived and their physical meaning is discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021797921640004X

Reference16 articles.

1. On the exchange of energy in coupled Klein–Gordon equations

2. Global existence for coupled Klein-Gordon equations with different speeds

3. Direct Construction of Conservation Laws from Field Equations

4. Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications

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