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Periodic kink-wave and kinky periodic-wave solutions for the Jimbo-Miwa equation. (English) Zbl 1223.35267

Summary: In this Letter, by using a novel extended homoclinic test approach (EHTA) we obtain two new types of exact periodic solitary-wave and kinky periodic-wave solutions for Jimbo-Miwa equation. Moreover, we investigate the strangely mechanical features of wave solutions. These results enrich the variety of the dynamics of higher-dimensional nonlinear wave field.

MSC:

35Q51 Soliton equations
35B35 Stability in context of PDEs
35B10 Periodic solutions to PDEs
35C08 Soliton solutions
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References:

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