A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation
Chen Yonga, Wang Qib
a Department of Mathematics, Ningbo University, Ningbo 315211, China; Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China; b Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
Abstract By means of a new general ans?tz and with the aid of symbolic computation, a new algebraic method named Jacobi elliptic function rational expansion is devised to uniformly construct a series of new double periodic solutions to (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov (ANNV) equation in terms of rational Jacobi elliptic function.
Received: 23 March 2004
Revised: 07 June 2004
Published: 20 June 2005
Fund: Project supported by the National Outstanding Youth Foundation of China (Grant No 19925522) and the Postdoctoral Science Foundation of China(Grant No 2004035080).
Cite this article:
Chen Yong, Wang Qi A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation 2004 Chin. Phys. 13 1796