Hirota双线性导数变换与DNLS方程的孤子解

摘要

By introduction and use of the method of Hirota′s bilinear derivative transform , the derivative nonlinear Schrödinger equation with vanishing boundary condition has been solved .The one and two soliton solutions are derived as two typical examples in the illustration of the general procedures .Their equivalence to the existing soliton solutions found with other approaches has also been discussed in detail .The elastic collision among the slitons has been manifested through an example of two soliton case .The evolution of one and two soliton solution with respect to time and space has been clearly demonstrated in figures .%介绍并基于 Hirota双线性导数变换，零边值条件下DNLS方程得以直接求解。其单孤子与双孤子解被作为两个典型特例以说明双线性导数变换法的一般应用手续。孤子之间的弹性碰撞通过双孤子情形得以展示，单孤子和双孤子解随时间与空间的演化也通过图表加以演示。