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Bifurcation of travelling wave solutions for the generalized ZK equations

✍ Scribed by Zhaojuan Wang; Shengqiang Tang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
729 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

a b s t r a c t By using the bifurcation theory of planar dynamical systems to the generalized ZK equations, the existence of smooth and non-smooth travelling wave solutions is proved. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of above solutions are given. Some exact explicit parametric representations of the above waves are determined.

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