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 TMF, 1987, Volume 70, Number 3, Pages 323–341 (Mi tmf4658)

Inverse scattering method with variable spectral parameter

S. P. Burtsev, V. E. Zakharov, A. V. Mikhailov

Abstract: In the traditional scheme of the inverse scattering method the spectral parameter of the auxiliary linear problem is usually considered as a constant. The authors propose to consider it as a variable satisfying an over-determined system of differential equations which is determined by the auxiliary linear problem. Nonlinear equations arising in this approach include, as a rule, the explicit dependence on coordinates. Besides the known equations (equation of gravitation, Heisenberg equation in axial geometry etc.) the method makes it possible to construct a number of new integrable equations valuable for applications.

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English version:
Theoretical and Mathematical Physics, 1987, 70:3, 227–240

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Citation: S. P. Burtsev, V. E. Zakharov, A. V. Mikhailov, “Inverse scattering method with variable spectral parameter”, TMF, 70:3 (1987), 323–341; Theoret. and Math. Phys., 70:3 (1987), 227–240

Citation in format AMSBIB
\Bibitem{BurZakMik87} \by S.~P.~Burtsev, V.~E.~Zakharov, A.~V.~Mikhailov \paper Inverse scattering method with variable spectral parameter \jour TMF \yr 1987 \vol 70 \issue 3 \pages 323--341 \mathnet{http://mi.mathnet.ru/tmf4658} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=894455} \zmath{https://zbmath.org/?q=an:0639.35074} \transl \jour Theoret. and Math. Phys. \yr 1987 \vol 70 \issue 3 \pages 227--240 \crossref{https://doi.org/10.1007/BF01040999} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1987K573300001} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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