Asymptotic behavior of solutions of a system of KDV type associated with the Schrödinger operator with an energy-dependent potential

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Asymptotic behavior of solutions of a system of KDV type associated with the Schrödinger operator with an energy-dependent potential. / Sukhanov, V. V.

In: Russian Journal of Nonlinear Dynamics, Vol. 16, No. 1, 2020, p. 173-179.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{7484852bdc054a7692643726bc60f19e,

title = "Asymptotic behavior of solutions of a system of KDV type associated with the Schr{\"o}dinger operator with an energy-dependent potential",

abstract = "In this paper, we study the asymptotic behavior of the solutions of the Cauchy problem for a nonlinear KdV type system associated with the Schr{\"o}dinger 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 = "asymptotic behavior, energy-dependent potential, Motion integrals, nonlinear KdV type system, asymptotic behavior, energy-dependent potential, Motion integrals, nonlinear KdV type system",

author = "Sukhanov, {V. V.}",

year = "2020",

doi = "10.20537/nd200113",

language = "English",

volume = "16",

pages = "173--179",

journal = "Russian Journal of Nonlinear Dynamics",

issn = "2658-5324",

publisher = "Institute of Computer Science",

number = "1",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of solutions of a system of KDV type associated with the Schrödinger operator with an energy-dependent potential

AU - Sukhanov, V. V.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - asymptotic behavior

KW - energy-dependent potential

KW - Motion integrals

KW - nonlinear KdV type system

KW - asymptotic behavior

KW - energy-dependent potential

KW - Motion integrals

KW - nonlinear KdV type system

UR - http://www.scopus.com/inward/record.url?scp=85084468489&partnerID=8YFLogxK

U2 - 10.20537/nd200113

DO - 10.20537/nd200113

M3 - Article

VL - 16

SP - 173

EP - 179

JO - Russian Journal of Nonlinear Dynamics

JF - Russian Journal of Nonlinear Dynamics

SN - 2658-5324

IS - 1

ER -

ID: 78367112