A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation
We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986)...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/764750 |
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| Summary: | We introduce two subequations with
different independent variables for constructing exact solutions to
nonlinear partial differential equations. In order to illustrate the
efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions. |
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| ISSN: | 1085-3375 1687-0409 |