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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
Аннотация:
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.
Ключевые слова:
nonlinear KdV type system, asymptotic behavior, energy-dependent potential, motion integrals.
Поступила в редакцию: 11.11.2019 Принята в печать: 11.02.2020
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd704 https://www.mathnet.ru/rus/nd/v16/i1/p173
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