Exact solution and exotic coherent soliton structures of the (2+1)-dimensional generalized

Exact solution and exotic coherent soliton structures of the (2+1)-dimensional generalized

nonlinear Schrodinger equation

郑春龙;张解放;盛正茂;黄文华

【期刊名称】《中国物理：英文版》 【年(卷),期】2003(012)001

【摘要】In this paper, a variable separation approach is used to obtain localized coherent structures of the (2 + 1)-dimensional generalized nonlinear Schrddinger equation: iψt-(α-β)ψxx+(α+β)ψgg-2λψ[(α+β)(∫x-∞ |ψ|2ydx+u1(y,t))-(α- β)(∫y- ∞|ψ|2xdy+u2(x,t))]=0. By applying a special Backlund 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. 【总页数】6页(11-16)

【关键词】variable separation approach;generalized nonlinear Schrodinger equation;coherent structure 【作者】郑春龙;张解放;盛正茂;黄文华

【作者单位】Department of Physics, Lishui Normal College, Lishui 323000, China;Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;Department of Physics, Zhejiang University,