New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation
Ma Hong-Cai1, Deng Ai-Ping1, Qin Zhen-Yun2
1Department of Applied Mathematics, College of Science, Donghua University, Shanghai 2016202Department of Mathematics, Fudan University, Shanghai 200433
New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation
Ma Hong-Cai1, Deng Ai-Ping1, Qin Zhen-Yun2
1Department of Applied Mathematics, College of Science, Donghua University, Shanghai 2016202Department of Mathematics, Fudan University, Shanghai 200433
摘要With the help of the homogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method, the first elliptic function equation is used to obtain the Jacobi doubly periodic wave solutions of the (2+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and the generalized Klein-Gordon equation. The method is also valid for other (1+1)-dimensional and higher dimensional systems.
Abstract：With the help of the homogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method, the first elliptic function equation is used to obtain the Jacobi doubly periodic wave solutions of the (2+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and the generalized Klein-Gordon equation. The method is also valid for other (1+1)-dimensional and higher dimensional systems.
Ma Hong-Cai;Deng Ai-Ping;Qin Zhen-Yun. New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation[J]. 中国物理快报, 2009, 26(4): 40201-040201.
Ma Hong-Cai, Deng Ai-Ping, Qin Zhen-Yun.
New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation. Chin. Phys. Lett., 2009, 26(4): 40201-040201.
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