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Blow-up solutions for a case of b-family equations

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ARTICLE DOWNLOAD

Blow-up solutions for a case of b-family equations

10$

Zongguang Li & Rui Liu 

Abstract

In this article, we study the blow-up solutions for a case of b-family equations. Using the qualitative theory of differential equations and the bifurcation method of dynamical systems, we obtain five types of blow-up solutions: the hyperbolic blow-up solution, the fractional blow-up solution, the trigonometric blow-up solution, the first elliptic blow-up solution, and the second elliptic blow-up solution. Not only are the expressions of these blow-up solutions given, but also their relationships are discovered. In particular, it is found that two bounded solitary solutions are bifurcated from an elliptic blow-up solution.

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Year 2020
Language English
Format PDF
DOI 10.1007/s10473-020-0402-4