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Solutions of the generalized KdV equation with time-dependent damping and dispersion |
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| Authors: | Yang Yang Francis R Austin |
| Institution: | a College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, PR China b Department of Applied Mathematics, Hong Kong Polytechnic University, Hunghom, Kowloon, Hong Kong, PR China |
| Abstract: | Solitary wave solutions are obtained for the generalized Korteweg-de-Vries (gKdV) equation with time-dependent damping and dispersion by using the tanh-coth method, the exp-function method and the modified sine-cosine method. These methods are useful and efficient and a variety of solitary wave solutions are obtained that possess variable coefficients. |
| Keywords: | The tanh-coth method The sine-cosine method The exp-function method The generalized Korteweg-de-Vries equation with time-dependent damping and dispersion Partial differential equation |
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