Bifurcation of travelling wave solutions for the generalized ZK equations |
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| Authors: | Zhaojuan Wang Shengqiang Tang |
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| Institution: | 1. IME-Universidade Federal de Goiás (UFG), Caixa Postal 131, 74001-970, Goiânia, GO, Brazil;2. IMECC-UNICAMP, Rua Sérgio Buarque de Holanda, 651, 13083-859, Campinas, SP, Brazil;1. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia;2. Departamento de Matemáticas, Universidad Central, Bogotá, Colombia |
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| Abstract: | 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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