Explicit Breather-Type and Pure N-Soliton Solution of DNLS^+ Equation with Nonvanishing Boundary Condition  

作　　者：ZHOU Guoquan 

机构地区：[1]School of Physics and Technology, Wuhan University

出　　处：《Wuhan University Journal of Natural Sciences》2013年第2期147-155,共9页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(10775105)

摘　　要：Based on a newly revised inverse scattering transform for the derivative nonlinear SchrSdinger （DNLS＋） equation with nonvanishing boundary condition （NVBC）, the explicit breather- type and pure N-soliton solution has been derived by some algebra techniques. The two-breather solution and the pure double-soliton solution have been given as two typical examples in illustration of the general formula of the multi-soliton solution. The asymptotic behaviors of the N-soliton solution are discussed in detail.Based on a newly revised inverse scattering transform for the derivative nonlinear SchrSdinger （DNLS＋） equation with nonvanishing boundary condition （NVBC）, the explicit breather- type and pure N-soliton solution has been derived by some algebra techniques. The two-breather solution and the pure double-soliton solution have been given as two typical examples in illustration of the general formula of the multi-soliton solution. The asymptotic behaviors of the N-soliton solution are discussed in detail.

关 键 词：SOLITON BREATHER nonlinear equation derivativenonlinear Schr6dinger equation inverse scattering transform Zakharov-Shabat equation 

分 类 号：O175.29[理学—数学] TN929.11[理学—基础数学]