(2 + 1)维非线性Ginzburg-Landau方程和广义Zakharov系统中的明暗光孤子解

Bright and Dark Soliton Solutions in the (2 + 1) Dimensional Nonlinear Ginzburg-Landau Equation and the Generalized Zakharov System

研究(2 + 1)维非线性Ginzburg-Landau方程和广义Zakharov系统。运用待定系数的相关方法,探究(2 + 1)维非线性Ginzburg-Landau方程和广义Zakharov系统的明暗孤子解。最终获得了奇异波解和周期解等不同类型的精确解,并用Mathematica画出了相关的解的图像,并且本文所获得的孤子解是全新的。

The paper studies the (2 + 1) dimensional nonlinear Ginzburg Landau equation and generalized Zakharov system. Using the relevant methods of undetermined coefficients, explore the bright dark soliton solutions of the (2 + 1) dimensional nonlinear Ginzburg-Landau equation and the general-ized Zakharov system. Finally, different types of exact solutions such as singular wave solutions and periodic solutions were obtained, and the relevant solutions were depicted using Mathematica. The soliton solutions obtained in this paper are brand new.