Year: 2020
Author: Zhenshu Wen, Keqin Zhao
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 4 : pp. 565–571
Abstract
In this paper, we qualitatively study periodic cusp waves to a class of generalized short pulse equations, which are of the general form of three special generalized short pulse equations, from the perspective of dynamical systems. We show the existence of smooth periodic waves, periodic cusp wave and compactons, obtain exact expression of periodic cusp wave and illustrate the limiting process of periodic cusp wave from smooth periodic waves.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.565
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 4 : pp. 565–571
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Generalized short pulse equations Periodic cusp waves Periodic waves Compactons Bifurcation.