Exact solutions to the generalized lienard equation and its applications |
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| Authors: | Xian-Lin Yang Jia-Shi Tang |
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| Institution: | (1) College of Mechanics and Aerospace, Hunan University, Changsha, Hunan, 410082, China;(2) Hunan Radio and Television University, Changsha, Hunan, 410004, China |
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| Abstract: | Some new exact solutions of the generalized Lienard equation are obtained, and the solutions of the equation are applied to
solve nonlinear wave equations with nonlinear terms of any order directly. The generalized one-dimensional Klein-Gordon equation,
the generalized Ablowitz (A) equation and the generalized Gerdjikov-Ivanov (GI) equation are investigated and abundant new
exact travelling wave solutions are obtained that include solitary wave solutions and triangular periodic wave solutions.
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| Keywords: | The generalized Lienard equation the generalized one-dimensional Klein-Gordon equation the generalized Ablowitz equation the generalized Gerdjikov-Ivanov equation |
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