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Qualitative analysis and explicit traveling wave solutions for the Davey–Stewartson equation
Author(s) -
Song Ming,
Liu Zhengrong
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2798
Subject(s) - traveling wave , mathematics , bifurcation , periodic wave , mathematical analysis , dynamical systems theory , nonlinear system , physics , quantum mechanics
In this paper, we use the bifurcation method of dynamical systems to study the traveling wave solutions for the Davey–Stewartson equation. A number of traveling wave solutions are obtained. Those solutions contain explicit periodic wave solutions, periodic blow‐up wave solutions, unbounded wave solutions, kink profile solitary wave solutions, and solitary wave solutions. Relations of the traveling wave solutions are given. Some previous results are extended. Copyright © 2013 John Wiley & Sons, Ltd.