Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation

There is considerable interest in studying unbounded solutions of nonlinear partial equations. In many cases, energy estimates can be used to prove that the solution tends to infinity in finite time, while also providing an estimate for the latter. Here, an equation in which energy estimates fail to...

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Bibliographic Details
Main Author: A. I. Aristov
Format: Article
Language:English
Published: Kazan Federal University 2024-01-01
Series:Учёные записки Казанского университета. Серия Физико-математические науки
Subjects:
Online Access:https://uzakufismat.elpub.ru/jour/article/view/9