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Bifurcations of travelling wave solutions in the (N + 1)-dimensional sine–cosine-Gordon equations

✍ Scribed by Shengqiang Tang; Chunhai Li; Kelei Zhang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
544 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, the (N + 1)-dimensional sine-cosine-Gordon equations are studied. The existence of solitary wave, kink and anti-kink wave, and periodic wave solutions are proved, by using the method of bifurcation theory of dynamical systems. All possible bounded exact explicit parametric representations of the above travelling solutions are obtained.

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