A sub-ODE method for generalized Gardner and BBM equation with nonlinear terms of any order |
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| Authors: | Dianchen Lu CuiLian Liu |
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| Institution: | Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University Zhenjiang, Jiangsu 212013, PR China |
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| Abstract: | In this paper, a method with the aid of a sub-ODE and its solutions is used for constructing new periodic wave solutions for nonlinear Gardner equation and BBM equation with nonlinear terms of any order arising in mathematical physics. As a result, many exact traveling wave solutions are successfully obtained. The method in the paper is very direct and it can also be applied to other nonlinear evolution equations. |
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| Keywords: | Sub-ODE Generalized Gardner equation Generalized BBM equation Traveling wave solutions |
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