利用经典李群法得到了(2+1)维Potential Boiti-Leon-Manna-Pempinelli(简称PBLMP)方程的对称、约化,通过解约化方程得到了该方程的一些精确解,包括有理函数解,双曲函数解,三角函数解,Jacobi 椭圆函数解.
参考文献
[1] | Abdel-All N H;Abdel-Razek M A A;Seddeek A A K.Expanding the tanh-function method for solving nonlinear equations[J].Applied Mathematics,20112(09):1096-1104. |
[2] | Parkes E J.Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations[J].Applied Mathematics and Computation,2010217(04):1749-1754. |
[3] | Zhao X Q;Zhi H Y.An improved F-expansion method and its application to coupled Drinfle'd-Sokolov-Wilson equation[J].Communications In Theoretical Physics,200850(02):309-314. |
[4] | Dimitrova Z I.Discussion on exp-function method and modified method of simplest equation[J].arXiv preprint arXiv,201313(03):0122. |
[5] | Bhrawy A H;Abdelkawy M A;Biswas A.Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method[J].Communications in Nonlinear Science and NumericalSimulation,201318(04):915-925. |
[6] | Wang Mingliang.Exact solutions for a compound KdV-Burgers equation[J].Physics Letters A,1996213(05):279-287. |
[7] | Zhang Yingyuan;Wang Ganwei;Liu Xiqiang.Symmetry reductions and explicit solutions of the (2+1)-dimensional nonlinear evolution equation (in Chinese)[J].Chinese Journal of Quantum Electronics (量子电子学报),201229:411-416. |
[8] | Chen Mei.Exact solutions and conservation laws of symmetric regularized long wave equations (in Chinese)[J].Chinese Journal of Quantum Electronics(量子电子学报),201129(05):21-26. |
[9] | Molati Motlatsi;Chaudry Masood Khalique.Symmetry classification and invariant solutions of the variable coefficient BBM equation[J].Applied Mathematics and Computation,2013219(15):7917-7922. |
[10] | Dai Chaoqing;Zhou Guoquan.Exotic interactions between solitons of the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system[J].Chinese Physics,200716(05):1201. |
[11] | Wang Ling;Dong Zhongzhou;Liu Xiqiang.Symmetry reductions,exact solutions and conservation laws of asymmetric Nizhnik-Novikov-Veselov equation[J].Communications In Theoretical Physics,200849(01):1. |
[12] | Estévez P G;Leble S.A wave equation in 2 + 1:Painlevé analysis and solutions[J].Inverse Problems,199511(04):925. |
[13] | Tang Xiaoyan;Lou Senyue;Zhang Ying.Localized excitations in (2 + 1)-dimensional systems[J].Physical Review E,200266(04):046601. |
[14] | Lou Senyue;Tang Xiaoyan.Methods of Nonlinear Mathematical Physics(非线性数学物理方法)(in Chinese)[M].北京:科学出版社,2006 |
[15] | Liu Na;Liu Xiqiang.Symmetries,new exact solutions and conservation laws of(2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (in Chinese)[J].Chinese Journal ofQuantum Electronics(量子电子学报),200825(05):546-552. |
[16] | Shi L M;Zhang L F;Meng H.A method to construct Weierstrass elliptic function solution for nonlinear equations[J].International Journal of Modern Physics B-Cosmology and Nuclear Physics,201125(14):1931-1939. |
[17] | Adem A R;Khalique C M.Symmetry reductions,exact solutions and conservation laws of a new coupled KdV system[J].Communications in Nonlinear Science and Numerical Simulation,201217(09):3465-3475. |
[18] | Moleleki L D;Johnpillai A G;Khalique C M.Symmetry reductions and exact solutions of a variable coefficient (2 + 1)-Zakharov-Kuznetsov equation[J].Mathematical and Computational Applications,201217(02):132. |
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