Direct similarity reductions and new exact solutions of the short pulse equation

In this paper, we present some similarity reductions of the short pulse equation(SPE) based on the direct similarity reduction method proposed by Clarkson and Kruskal. These similarity reductions have a more general form than those obtained by using the Lie group method. Especially, we obtain one ne...

Full description

Bibliographic Details
Main Authors: Quting Chen, Yadong Shang
Format: Article
Language:English
Published: AIMS Press 2019-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2019.2.231/fulltext.html