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Some Approaches to the Calculation of Conservation Laws for a Telegraph System and Their Comparisons Buhe, Eerdun; Bluman, G.W.; Alatancang, Chen; Yulan, Hu

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.

Item Metadata

Title
Some Approaches to the Calculation of Conservation Laws for a Telegraph System and Their Comparisons
Creator
Buhe, Eerdun; Bluman, G.W.; Alatancang, Chen; Yulan, Hu
Publisher
Multidisciplinary Digital Publishing Institute
Date Issued
2018-05-24
Description
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.
Subject
Conservation laws; Nonlinear telegraph system; Symmetries; Adjoint symmetries; Symmetry action; Multipliers
Genre
Article
Type
Text
Language
eng
Date Available
2019-06-25
Provider
Vancouver : University of British Columbia Library
Rights
CC BY 4.0
DOI
10.14288/1.0379595
URI
http://hdl.handle.net/2429/70771
Affiliation
Science, Faculty of; Non UBC; Mathematics, Department of
Citation
Symmetry 10 (6): 182 (2018)
Publisher DOI
10.3390/sym10060182
Peer Review Status
Reviewed
Scholarly Level
Faculty
Rights URI
https://creativecommons.org/licenses/by/4.0/
Aggregated Source Repository
DSpace

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Rights

CC BY 4.0