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  • Galiakberova, L. R. (author)

Nonlinear self-adjointness of the Krichever-Novikov equation

  • Article/chapterEnglish2014

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  • Elsevier,2014
  • printrdacarrier

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  • LIBRIS-ID:oai:DiVA.org:bth-6713
  • https://urn.kb.se/resolve?urn=urn:nbn:se:bth-6713URI
  • https://doi.org/10.1016/j.cnsns.2013.06.011DOI

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  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

Notes

  • 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)
  • Blekinge Tekniska HögskolaAvdelningen för matematik och naturvetenskap (creator_code:org_t)

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  • In:Communications in nonlinear science & numerical simulation: Elsevier19:2, s. 361-3631007-57041878-7274

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