Article ID Journal Published Year Pages File Type
4958467 Computers & Mathematics with Applications 2017 8 Pages PDF
Abstract
Under investigation in this work is a generalized (3+1)-dimensional Kadomtsev-Petviashvili (GKP) equation, which can describe many nonlinear phenomena in fluid dynamics. By virtue of the Bell's polynomials, an effective and straightforward way is presented to explicitly construct its bilinear form and soliton solution. Furthermore, based on the bilinear formalism and the extended homoclinic test method, the kinky breather wave solutions and rational breather wave solutions of the equation are well constructed. It is hoped that our results can be used to enrich the dynamical behavior of the (3+1)-dimensional nonlinear wave fields.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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