On exact solutions of the Bogoyavlenskii equation |
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| Authors: | Yan-Ze Peng Ming Shen |
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| Institution: | (1) Department of Mathematics, Huazhong University of Science and Technology, 430074 Wuhan, People’s Republic of China |
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| Abstract: | Exact solutions for the Bogoyavlenskii equation are studied by the travelling wave method and the singular manifold method.
It is found that the linear superposition of the shock wave solution and the complex solitary wave solution for the physical
field is still a solution of the equation of interest, except for a phase-shift. The dromion-like structures with elastic
and nonelastic interactions are found. |
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| Keywords: | Bogoyavlenskii equation travelling wave method singular manifold method |
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