Open AccessSmoothness property of traveling wave solutions in a modified Kadomtsev--Petviashvili equation
Author(s) -
Lina Zhang,
Feng Li,
Xianglin Han
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.05.24
Subject(s) - mathematics , smoothness , traveling wave , kadomtsev–petviashvili equation , property (philosophy) , mathematical analysis , partial differential equation , characteristic equation , epistemology , philosophy
In this paper, dynamical systems theory is applied to investigate the smooth property of traveling wave solutions for a modified Kadomtsev–Petviashvili equation. The results of our study demonstrate that an abundant of smooth traveling waves arise when their corresponding orbits have intersection points with the singular straight line. In some conditions, exact parametric representations of these smooth waves in explicit or implicit forms are obtained. c ©2016 All rights reserved.
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