A note on solitary wave solutions of the nonlinear generalized Camassa-Holm equation (Q355601)
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scientific article; zbMATH DE number 6191096
| Language | Label | Description | Also known as |
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| English | A note on solitary wave solutions of the nonlinear generalized Camassa-Holm equation |
scientific article; zbMATH DE number 6191096 |
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A note on solitary wave solutions of the nonlinear generalized Camassa-Holm equation (English)
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25 July 2013
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Summary: We give a simple method for applying ordinary differential equation to solve the nonlinear generalized Camassa-Holm equation \(u_t + 2ku_x - u_{xxt} + au^mu_x - 2u_xu_{xx} + uu_{xxx} = 0\). Furthermore we give a new ansätz. In the cases where \(m = 1, 2, 3\), the numerical simulations demonstrate the results.
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