A family of novel exact solutions to \((2+1)\)-dimensional KdV equation (Q1724929)
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scientific article; zbMATH DE number 7023040
| Language | Label | Description | Also known as |
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| English | A family of novel exact solutions to \((2+1)\)-dimensional KdV equation |
scientific article; zbMATH DE number 7023040 |
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A family of novel exact solutions to \((2+1)\)-dimensional KdV equation (English)
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14 February 2019
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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 \textit{M. Boiti} et al. [Inverse Probl. 2, 271--279 (1986; Zbl 0617.35119)] using the idea of the weak Lax pair. As a result, we obtained many new exact solutions.
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