a Department of Physics, Lishui Normal College, Lishui 323000, China; b Institute of Nonlinear Physics, Zhejiang Normal University,Jinhua 321004, China; c Department of Physics, Zhejiang University, Hangzhou 310027, China; d Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; e Department of Physics, Yichun University, Yichun 336000, China
AbstractIn this paper, a variable separation approach is used to obtain localized coherent structures of the (2+1)-dimensional generalized nonlinear Schrodinger equation:${\rm i}\varphi_t-(\alpha \beta)\varphi_{xx}+(\alpha+\beta)\varphi_{yy}-2\lambda \varphi \bigg[(\alpha+\beta)\bigg(\int_{-\infty}^x|\varphi|_{y}^2{\rm d} x+u_1(y,t)\bigg) $$-(\alpha-\beta)\bigg(\int_{-\infty}^y|\varphi|_{x}^2{\rm d}y+u_2(x,t)\bigg)\bigg]=0.$ By applying a special B?cklund transformation and introducing arbitrary functions of the seed solutions, the abundance of the localized structures of this model are derived. By selecting the arbitrary functions appropriately, some special types of localized excitations such as dromions, dromion lattice, breathers and instantons are constructed.
Received: 02 June 2002
Revised: 30 July 2002
Accepted manuscript online:
Fund: Project supported by the Foundation of "151 Talent Engineering" of Zhejiang Province, China, and the Natural Science Foundation of Zhejiang Province, China (Grant No 100039)
Cite this article:
Zheng Chun-Long (郑春龙), Zhang Jie-Fang (张解放), Sheng Zheng-Mao (盛正茂), Huang Wen-Hua (黄文华) Exact solution and exotic coherent soliton structures of the (2+1)-dimensional generalized nonlinear Schrödinger equation 2003 Chinese Physics 12 11
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