Collisions between Solitons Modulated by Gain/Loss and Phase in the Complex Ginzburg-Landau Equation

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2013,（2）
• 页码范围: 110-113
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/30/2/024204

摘要

Complex Ginzburg Landau (CGL) equations are well known as basic models of the pattern formation in various nonlinear dissipative media.[1-3] An important class of patterns observed in these media and reproduced by the CGL equations is dissipative soliton (DS).[4-6] It is well known that the CGL equation with the cubic-quintic (CQ) nonlinearity can support stable DSs in any dimension.The CGL equation with the cubic-quintic (CQ) nonlinearity was first proposed in a two-dimensional form by Petviashvili and Sergeev[7] as a model generating stable localized modes.In the 1D version of the model,the stable solutions of solitons were investigated in detail.[sl Nonlinear optical media that feature the CQ response include chalcogenide glasses[9]and some organic materials.[10] Subsequently,numerous complex stable patterns in this model have been investigated including stable vortices,[11] stable soliton clusters,[12,13] bound states,[14,15] and novel dynamics by adding an external potential.