Dressing for a Novel Integrable Generalization of the Nonlinear Schrodinger Equation

被引:102
|
作者
Lenells, Jonatan [1 ]
机构
[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany
关键词
Integrable system; Inverse spectral theory; Dressing method; Solitons; TRANSFORMATION; SOLITONS;
D O I
10.1007/s00332-010-9070-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We implement the dressing method for a novel integrable generalization of the nonlinear Schrodinger equation. As an application, explicit formulas for the N-soliton solutions are derived. As a by-product of the analysis, we find a simplification of the formulas for the N-solitons of the derivative nonlinear Schrodinger equation given by Huang and Chen.
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页码:709 / 722
页数:14
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