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
Citation:
Sukhanov V., Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential, Rus. J. Nonlin. Dyn.,
2020, Vol. 16, no. 1,
pp. 173-179
DOI:10.20537/nd200113