A new periodic solution to Jacobi elliptic functions of MKdV equation and BBM equation |
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| Authors: | Hong-cai Ma Zhi-Ping Zhang Ai-ping Deng |
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| Affiliation: | 1 Department of Applied Mathematics,College of Science,Donghua University,Shanghai 201620,China 2 School of Mathematics and Information Sciences,Henan University,Kaifeng 475000,China |
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| Abstract: | Based on the homogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method, the first elliptic function equation is used to get a new kind of solutions of nonlinear evolution equations. New exact solutions to the Jacobi elliptic function of MKdV equations and Benjamin-Bona-Mahoney (BBM) equations are obtained with the aid of computer algebraic system Maple. The method is also valid for other (1+1)-dimensional and higher dimensional systems. |
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| Keywords: | (1+1)-dimensional MKdV equation BBM equation auxiliary equation method traveling wave solution nonlinear |
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