Exact solutions to the combined KdV-mKdV equation by the extended mapping method
作者： E V Krishnan , Yan-ze Peng
DOI: 10.1088/0031-8949/73/4/017
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摘要: The extended mapping method has been used to derive some new exact solutions of the KdV?mKdV equation as a combination Jacobian elliptic functions. Solutions in limiting cases have also studied.
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Yan-ze Peng, New Exact Solutions to a New Hamiltonian Amplitude Equation. II Journal of the Physical Society of Japan. ,vol. 73, pp. 1156- 1158 ,(2003) , 10.1143/JPSJ.73.1156
Yan-ze Peng, Exact Periodic Wave Solutions to a New Hamiltonian Amplitude Equation Journal of the Physical Society of Japan. ,vol. 72, pp. 1356- 1359 ,(2003) , 10.1143/JPSJ.72.1356
M. N. B. Mohamad, Exact solutions to the combined KdV and mKdV equation Mathematical Methods in the Applied Sciences. ,vol. 15, pp. 73- 78 ,(1992) , 10.1002/MMA.1670150202
G. L. LAMB, Analytical Descriptions of Ultrashort Optical Pulse Propagation in a Resonant Medium Reviews of Modern Physics. ,vol. 43, pp. 99- 124 ,(1971) , 10.1103/REVMODPHYS.43.99
Clifford S. Gardner, John M. Greene, Martin D. Kruskal, Robert M. Miura, Method for solving the Korteweg-deVries equation Physical Review Letters. ,vol. 19, pp. 1095- 1097 ,(1967) , 10.1103/PHYSREVLETT.19.1095
Zhenya Yan, A sinh-Gordon equation expansion method to construct doubly periodic solutions for nonlinear differential equations Chaos Solitons & Fractals. ,vol. 16, pp. 291- 297 ,(2003) , 10.1016/S0960-0779(02)00321-1
Lan Huibin, Wang Kelin, Exact solutions for two nonlinear equations. I Journal of Physics A. ,vol. 23, pp. 3923- 3928 ,(1990) , 10.1088/0305-4470/23/17/021
W. Malfliet, Solitary wave solutions of nonlinear wave equations American Journal of Physics. ,vol. 60, pp. 650- 654 ,(1992) , 10.1119/1.17120
E.J. Parkes, B.R. Duffy, P.C. Abbott, The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations Physics Letters A. ,vol. 295, pp. 280- 286 ,(2002) , 10.1016/S0375-9601(02)00180-9
Mark W. Coffey, On Series Expansions Giving Closed-Form Solutions of Korteweg–de Vries-Like Equations SIAM Journal on Applied Mathematics. ,vol. 50, pp. 1580- 1592 ,(1990) , 10.1137/0150093