Geodesic
Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential
Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 173-179

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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. 
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     author = {V. V. Sukhanov},
     title = {Asymptotic {Behavior} of {Solutions} of a {System} of {KdV} {Type} {Associated} with the {Schr\"odinger} {Operator} with an {Energy-Dependent} {Potential}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {173--179},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2020_16_1_a12/}
}
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V. V. Sukhanov. Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential. Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 173-179. http://geodesic.mathdoc.fr/item/ND_2020_16_1_a12/