SOLUTION OF THE KORTEWEG-DE VRIEZ EQUATION BY THE METHOD OF INVERSE SCATTERING PROBLEM
DOI:
https://doi.org/10.46991/PYSU:A/2006.40.3.016Keywords:
nonlinear Korteweg-de Vriez equation, certain behaviour, initial conditionAbstract
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
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Mathematics
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Copyright (c) 2006 Proceedings of the YSU
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