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Nonlinear self-adjo...
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Galiakberova, L. R.
(author)
Nonlinear self-adjointness of the Krichever-Novikov equation
- Article/chapterEnglish2014
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Elsevier,2014
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LIBRIS-ID:oai:DiVA.org:bth-6713
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https://urn.kb.se/resolve?urn=urn:nbn:se:bth-6713URI
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https://doi.org/10.1016/j.cnsns.2013.06.011DOI
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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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.
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Ibragimov, NailBlekinge Tekniska Högskola,Avdelningen för matematik och naturvetenskap(Swepub:bth)nib
(author)
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Blekinge Tekniska HögskolaAvdelningen för matematik och naturvetenskap
(creator_code:org_t)
Related titles
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In:Communications in nonlinear science & numerical simulation: Elsevier19:2, s. 361-3631007-57041878-7274
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