A general mapping approach and new travelling wave solutions to the general variable coefficient KdV equation |
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| Authors: | Zhu Jia-Min Zheng Chun-Long and Ma Zheng-Yi |
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| Affiliation: | Department of Physics, Lishui College, Lishui 323000, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | A general mapping deformation method is applied to a generalized variable coefficient KdV equation. Many new types of exact solutions, including solitary wave solutions, periodic wave solutions, Jacobian and Weierstrass doubly periodic wave solutions and other exact excitations are obtained by the use of a simple algebraic transformation relation between the generalized variable coefficient KdV equation and a generalized cubic nonlinear Klein－Gordon equation. |
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| Keywords: | generalized variable coefficient KdV equation general mapping approach travelling wave solution |
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