Article ID Journal Published Year Pages File Type
4636991 Applied Mathematics and Computation 2006 8 Pages PDF
Abstract
By using the bifurcation theory of dynamical systems to a generalized KdV equation given by Cooper et al., the existence of solitary wave solutions, solitary cusp wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact explicit parametric representations of the above waves are determined.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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