The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation

doi:10.1088/1009-1963/12/8/301

Abstract

Abstract The periodic wave solutions expressed by Jacobi elliptic functions for the generalized Nizhnik－Novikov－Veselov equation are obtained using the F-expansion method proposed recently. In the limiting cases, the solitary wave solutions and other types of travelling wave solutions for the system are obtained.

Keywords: generalized Nizhnik－Novikov－Veselov equation F-expansion method Jacobi elliptic functions periodic wave solutions solitary wave solutions

Received: 21 December 2002
Revised: 28 February 2003
Accepted manuscript online:

PACS:	02.30.Hq	(Ordinary differential equations)
	02.30.Jr	(Partial differential equations)
	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	03.65.Ge	(Solutions of wave equations: bound states)

Fund: Project supported by the Natural Science Foundation of Henan Province, China (Grant No 0111050200) and the Natural Science Foundation of Education Committee of Henan Province, China (Grant No 2000110008).

Cite this article:

Zhang Jin-Liang (张金良), Ren Dong-Feng (任东锋), Wang Ming-Liang (王明亮), Wang Yue-Ming (王跃明), Fang Zong-De (方宗德) The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation 2003 Chinese Physics 12 825

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The periodic wave solutions for the generalized Nizhnik－Novikov－Veselov equation

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