A new General Algebraic Method and its applications to the (2+1)-dimensional Broer–Kaup–Kupershmidt equations
作者： Cheng-Lin Bai , Hong Zhao
DOI: 10.1016/J.AMC.2009.10.034
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摘要: Abstract Using a computerized symbolic computation technique, new method named the Repeated General Algebraic Method (RGAM) is established in this study order to find exact solutions of Nonlinear Partial Differential Equations (NLPDEs). The validated based on (2+1)-dimensional Broer–Kaup–Kupershmidt (BKK) equations. By using RGAM various conditions, number NLPDEs have been obtained showing potential importance future physical applications. Also, it anticipated that can be applied other nonlinear evolution equations mathematical physics produce some interesting outcomes.
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sci-hub.se 参考文章(27)
N. I. Akhiezer, Elements of the Theory of Elliptic Functions ,(1990)
Zhao Hong, Extended Complex tanh-Function Method and Exact Solutions to (2+1)-Dimensional Hirota Equation Communications in Theoretical Physics. ,vol. 47, pp. 200- 202 ,(2007) , 10.1088/0253-6102/47/2/002
Sheng Zhang, Application of Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer–Kaup–Kupershmidt equations Physics Letters A. ,vol. 372, pp. 1873- 1880 ,(2008) , 10.1016/J.PHYSLETA.2007.10.086
Chenglin Bai, Exact solutions for nonlinear partial differential equation: a new approach Physics Letters A. ,vol. 288, pp. 191- 195 ,(2001) , 10.1016/S0375-9601(01)00522-9
Yong Chen, Qi Wang, A new general algebraic method with symbolic computation to construct new travelling wave solution for the (1+1)-dimensional dispersive long wave equation Applied Mathematics and Computation. ,vol. 168, pp. 1189- 1204 ,(2005) , 10.1016/J.AMC.2004.10.012
G. B. Whitham, Richard G. Fowler, Linear and Nonlinear Waves ,(1974)
Deng-Shan Wang, Hong-Bo Li, Elliptic equation’s new solutions and their applications to two nonlinear partial differential equations Applied Mathematics and Computation. ,vol. 188, pp. 762- 771 ,(2007) , 10.1016/J.AMC.2006.10.026
Engui Fan, Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method Journal of Physics A. ,vol. 35, pp. 6853- 6872 ,(2002) , 10.1088/0305-4470/35/32/306
Cheng-Lin Bai, Cheng-Jie Bai, Hong Zhao, A New Generalized Algebraic Method and its Application in Nonlinear Evolution Equations with Variable Coefficients Zeitschrift für Naturforschung A. ,vol. 60, pp. 211- 220 ,(2005) , 10.1515/ZNA-2005-0401
Sheng Zhang, TieCheng Xia, Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer–Kaup–Kupershmidt equations Applied Mathematics and Computation. ,vol. 182, pp. 1651- 1660 ,(2006) , 10.1016/J.AMC.2006.06.004