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Solitary wave and similarity solutions of the combined KdV equation |
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| Authors: | Pan Xiu-de |
| Institution: | Zheijing University, Hangzhou |
| Abstract: | In this paper, we discuss a property of solitary wave solutions of the combined KdV equation. Meantime, we point out that the combined KdV equation can be reduced to the Painlevé equation. Furthermore, utilizing special transformations of similarity variables, we derive a kind of new partial differential equations. |
| Keywords: | plane elasticity problem Hamiltonian system symplectic orthogonality eigenfunction expansion Hamiltonian operator |
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