SOLUTION OF THE KORTEWEG-DE VRIEZ EQUATION BY THE METHOD OF INVERSE SCATTERING PROBLEM

H. A. Asatryan; I. G. Khachatryan

doi:10.46991/PYSU:A/2006.40.3.016

SOLUTION OF THE KORTEWEG-DE VRIEZ EQUATION BY THE METHOD OF INVERSE SCATTERING PROBLEM

Authors

H. A. Asatryan Chair of Differential Equations, YSU, Armenia
I. G. Khachatryan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2006.40.3.016

Keywords:

nonlinear Korteweg-de Vriez equation, certain behaviour, initial condition

Abstract

Cauchy's problem for the nonlinear Korteweg-de Vriez equation is considered with the initial condition given by function, having certain behaviour at infinity. Construction of the solution of this problem by the method of the inverse scattering problem is described provided that the solution exists and has the same behaviour at infinity, as the initial data.

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Published

2006-10-27

How to Cite

Asatryan, H. A., & Khachatryan, I. G. (2006). SOLUTION OF THE KORTEWEG-DE VRIEZ EQUATION BY THE METHOD OF INVERSE SCATTERING PROBLEM. Proceedings of the YSU A: Physical and Mathematical Sciences, 40(3 (211), 16–20. https://doi.org/10.46991/PYSU:A/2006.40.3.016