Quasi self-adjoint nonlinear wave equations
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2010 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 43, no 44Article in journal (Refereed) Published
In this paper we generalize the classification of self-adjoint second-order linear partial differential equation to a family of nonlinear wave equations with two independent variables. We find a class of quasi self-adjoint nonlinear equations which includes the self-adjoint linear equations as a particular case. The property of a differential equation to be quasi self-adjoint is important, e.g. for constructing conservation laws associated with symmetries of the differential equation.
Place, publisher, year, edition, pages
IOP Publishing Ltd , 2010. Vol. 43, no 44
Quasi self-adjoint nonlinear equations, symmetries, conservation laws
Mathematics Mathematical Analysis
IdentifiersURN: urn:nbn:se:bth-7531DOI: 10.1088/1751-8113/43/44/442001Local ID: oai:bth.se:forskinfoCCA4A06C0D916A75C12578B70057ED88OAI: oai:DiVA.org:bth-7531DiVA: diva2:835155