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Russian Journal of Nonlinear Dynamics, 2020, Volume 16, Number 1, Pages 173–179
DOI: https://doi.org/10.20537/nd200113 (Mi nd704) 		 
Mathematical problems of nonlinearity

Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential

V. V. Sukhanov

Department of Mathematical Physics, Institute of Physics, St. Petersburg State University, ul. Ulyanovskaya 1, St. Petersburg — Petrodvorets, 198904 Russia
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DOI: https://doi.org/10.20537/nd200113
Abstract: In this paper, we study the asymptotic behavior of the solutions of the Cauchy problem for a nonlinear KdV type system associated with the Schrödinger spectral operator with an energy-dependent potential. Using the set of motion integrals for this system, we determine the amplitude of the asymptotic solution in terms of spectral data for the initial condition of the Cauchy problem.
Keywords: nonlinear KdV type system, asymptotic behavior, energy-dependent potential, motion integrals.
Funding agency Grant number
Russian Science Foundation 17-11-01126
This research was supported by RSF (project No. 17-11-01126).
Received: 11.11.2019
Accepted: 11.02.2020
Bibliographic databases:
Document Type: Article
MSC: 37K15
Language: English
Citation: V. V. Sukhanov, “Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential”, Rus. J. Nonlin. Dyn., 16:1 (2020), 173–179
Citation in format AMSBIB
\Bibitem{Suk20}
\by V. V. Sukhanov
\paper Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential
\jour Rus. J. Nonlin. Dyn.
\yr 2020
\vol 16
\issue 1
\pages 173--179
\mathnet{http://mi.mathnet.ru/nd704}
\crossref{https://doi.org/10.20537/nd200113}
\elib{https://elibrary.ru/item.asp?id=43291092}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85084468489}
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