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.

Original languageEnglish
Pages (from-to)173-179
Number of pages7
JournalRussian Journal of Nonlinear Dynamics
Volume16
Issue number1
DOIs
StatePublished - 2020

    Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering

    Research areas

  • asymptotic behavior, energy-dependent potential, Motion integrals, nonlinear KdV type system

ID: 78367112