A new class of induced localized coherent structures in the (2+1)-dimensional nonlinear Schrodinger equation

作者：Radha R^*; Lakshmanan M

来源：Journal of Physics A: Mathematical and General , 1997, 30(9): 3229-3233.

DOI：10.1088/0305-4470/30/9/028

In this paper, we report a novel way of constructing a new class of localized coherent structures for the (2 + 1)-dimensional nonlinear Schrodinger (NLS) equation proposed by Zakharov by utilizing the freedom (arbitrary function) in the linearized version of the bilinear equation. The localized solutions for the potential are realized mainly by the interaction of the line soliton with a curved soliton. We call such solutions 'induced localized structures (induced dromions)' as the line soliton is induced by the arbitrary function present in the system.

• 出版日期1997-5-7