Please wait a minute...
Chinese Physics, 2002, Vol. 11(7): 651-655    DOI: 10.1088/1009-1963/11/7/301
GENERAL   Next  

Bäcklund transformation and variable separation solutions for the generalized Nozhnik-Novikov-Veselov equation

Zhang Jie-Fang (张解放)
Institute of Nonlinear Physics , Zhejiang Normal University, Jinhua 321004, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 China
Abstract  Using the extended homogeneous balance method, the B?cklund transformation for a (2+1)-dimensional integrable model, the generalized Nizhnik-Novikov-Veselov (GNNV) equation, is first obtained. Also, making use of the B?cklund transformation, the GNNV equation is changed into three equations: linear, bilinear and trilinear form equations. Starting from these three equations, a rather general variable separation solution of the model is constructed. The abundant localized coherent structures of the model can be induced by the entrance of two variable-separated arbitrary functions.
Keywords:  extended homogeneous balance method      (2+1) dimensions      GNNV equation      localized coherent structures  
Received:  04 December 2001      Revised:  28 March 2002      Accepted manuscript online: 
PACS:  02.30.Hq (Ordinary differential equations)  
  02.60.Lj (Ordinary and partial differential equations; boundary value problems)  
  02.30.Fn (Several complex variables and analytic spaces)  
Fund: Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No 100039).

Cite this article: 

Zhang Jie-Fang (张解放) Bäcklund transformation and variable separation solutions for the generalized Nozhnik-Novikov-Veselov equation 2002 Chinese Physics 11 651

[1] New localized excitations in a (2+1)-dimensional Broer—Kaup system
Bai Cheng-Lin (白成林), Liu Xi-Qiang (刘希强), Zhao Hong (赵红). Chin. Phys. B, 2005, 14(2): 285-292.
[2] Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik-Novikov-Veselov equation
Bai Cheng-Lin (白成林). Chin. Phys. B, 2004, 13(1): 1-4.
[3] New multi-soliton solutions and travelling wave solutions of the dispersive long-wave equations
Zhang Jie-Fang (张解放), Guo Guan-Ping (郭冠平), Wu Feng-Min (吴锋民). Chin. Phys. B, 2002, 11(6): 533-536.
[4] THE EXACT SOLUTIONS OF THE BURGERS EQUATION AND HIGHER-ORDER BURGERS EQUATION IN (2+1) DIMENSIONS
Bai Cheng-lin (白成林). Chin. Phys. B, 2001, 10(12): 1091-1095.
No Suggested Reading articles found!