Weak Multi-Phase Asymptotics for Nonintegrable Equations

G. A. Omel’yanov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Abstract: We describe an approach that allows us to construct multi-soliton asymptotic solutions for essentially nonintegrable equations and analyze the type of wave collision. The general idea is demonstrated by the example of a generalization of Korteweg-de Vries equation with small dispersion in the cases of two and three waves. We also discuss the phenomenon of nonuniqueness that occurs in the framework of the weak description of a multi-soliton interaction.

Original languageEnglish
Pages (from-to)84-95
Number of pages12
JournalRussian Journal of Mathematical Physics
Issue number1
StatePublished - Jan 2021

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