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Bifurcations and exact solutions for a nonlinear surface wind waves equation
Author(s) -
Xie Yongan,
Tang Shengqiang,
Zhong Liyan,
Chen Aiyong
Publication year - 2016
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.3549
Subject(s) - peakon , mathematics , nonlinear system , surface (topology) , mathematical analysis , dynamical systems theory , traveling wave , exact solutions in general relativity , classical mechanics , geometry , physics , quantum mechanics , integrable system
By using the method of dynamical systems, for the nonlinear surface wind waves equation, which is given by Manna, we study its dynamical behavior to determine all exact explicit traveling wave solutions. To guarantee the existence of the aforementioned solutions, all parameter conditions are determined. Our procedure shows that the nonlinear surface wind waves equation has no peakon solution. Copyright © 2015 John Wiley & Sons, Ltd.