Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential
Received 11 December 2019; accepted 11 February 2020
2020, Vol. 16, no. 1, pp. 173-179
Author(s): Sukhanov V.
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.
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