New exact solutions for the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations (Q624487)
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scientific article; zbMATH DE number 5848813
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New exact solutions for the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations |
scientific article; zbMATH DE number 5848813 |
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New exact solutions for the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations (English)
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9 February 2011
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Summary: We investigate the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up solutions, and solitary wave solutions. Some previous results are extended.
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Broer-Kaup-Kuperschmidt equations
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bifurcation method
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kink-shaped solutions
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blow-up solutions
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periodic solutions
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