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Conservation laws for some compacton equations using the multiplier approach

Authors:	R Naz

Institution:	Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan

Abstract:	This paper is an application of the variational derivative method to the derivation of the conservation laws for partial differential equations. The conservation laws for (1+1) dimensional compacton k(2,2) and compacton k(3,3) equations are studied via multiplier approach. Also the conservation laws for (2+1) dimensional compacton Zk(2,2) equation are established by first computing the multipliers.

Keywords:	Multipliers Compacton _method=retrieve& _eid=1-s2 0-S0893965911003910& _mathId=si30 gif& _pii=S0893965911003910& _issn=08939659& _acct=C000069490& _version=1& _userid=6211566& md5=845b177a396b4bdc2ffbd7a4bbcf4205')" style="cursor:pointer k(2" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">k(2 2) equation Compacton _method=retrieve& _eid=1-s2 0-S0893965911003910& _mathId=si31 gif& _pii=S0893965911003910& _issn=08939659& _acct=C000069490& _version=1& _userid=6211566& md5=c03ebb1ad91e61cf7702d8c1070fc5ef')" style="cursor:pointer k(3" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">k(3 3) equation Compacton _method=retrieve& _eid=1-s2 0-S0893965911003910& _mathId=si32 gif& _pii=S0893965911003910& _issn=08939659& _acct=C000069490& _version=1& _userid=6211566& md5=9d3bac46033550f2b1d7b152a607f423')" style="cursor:pointer Zk(2" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Zk(2 2) equation
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