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Nonlinear self-adjointness of the Krichever-Novikov equation
Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, Avdelningen för matematik och naturvetenskap.
2014 (engelsk)Inngår i: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, E-ISSN 1878-7274, Vol. 19, nr 2, s. 361-363Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

It is known that the classification of third-order evolutionary equations with the constant separant possessing a nontrivial Lie-Bäcklund algebra (in other words, integrable equations) results in the linear equation, the KdV equation and the Krichever-Novikov equation. The first two of these equations are nonlinearly self-adjoint. This property allows to associate conservation laws of the equations in question with their symmetries. The problem on nonlinear self-adjointness of the Krichever-Novikov equation has not been solved yet. In the present paper we solve this problem and find the explicit form of the differential substitution providing the nonlinear self-adjointness.

sted, utgiver, år, opplag, sider
Elsevier , 2014. Vol. 19, nr 2, s. 361-363
Emneord [en]
Adjoint equation, Differential substitution, Krichever-Novikov equation, Nonlinear self-adjointness
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-6713DOI: 10.1016/j.cnsns.2013.06.011ISI: 000325128700006Lokal ID: oai:bth.se:forskinfo3DBDC0F8EDC7B144C1257BE80024062EOAI: oai:DiVA.org:bth-6713DiVA, id: diva2:834246
Tilgjengelig fra: 2014-04-23 Laget: 2013-09-16 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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