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Symmetry 2018, 10(6), 182; https://doi.org/10.3390/sym10060182

Some Approaches to the Calculation of Conservation Laws for a Telegraph System and Their Comparisons

1
School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
2
Department of Mathematics, Hohhot University for Nationalities, Hohhot 010051, China
3
College of Sciences, Inner Mongolia University for Technology, Hohhot 010051, China
4
Department of Mathematics, University of British Columbia, Vancouver V6T 1Z2, Canada
*
Author to whom correspondence should be addressed.
Received: 8 April 2018 / Revised: 27 April 2018 / Accepted: 17 May 2018 / Published: 24 May 2018
View Full-Text   |   Download PDF [271 KB, uploaded 24 May 2018]

Abstract

This paper applies the direct construction method, symmetry/adjoint symmetry pair method (SA method), symmetry action on a known conservation law method, Ibragimov’s conservation theorem (which always yields the same results as the SA method) and a recursion formula to calculate several conservation laws for nonlinear telegraph systems. In addition, a comparison is made between these methods for conservation laws admitted by nonlinear telegraph systems. View Full-Text
Keywords: conservation laws; nonlinear telegraph system; symmetries; adjoint symmetries; symmetry action; multipliers conservation laws; nonlinear telegraph system; symmetries; adjoint symmetries; symmetry action; multipliers
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Buhe, E.; Bluman, G.; Alatancang, C.; Yulan, H. Some Approaches to the Calculation of Conservation Laws for a Telegraph System and Their Comparisons. Symmetry 2018, 10, 182.

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