ON HIGHER-ORDER CORRECTIONS IN SOLITON PERTURBATION-THEORY

被引：6

作者：

DOKTOROV, EV

PROKOPENYA, IN

机构：

[1] B.I. Stepanov Inst. of Phys., Acad. of Sci., Minsk

来源：

INVERSE PROBLEMS | 1991年 / 7卷 / 02期

关键词：

D O I：

10.1088/0266-5611/7/2/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A scheme is proposed for calculating higher-order corrections to a soliton in the presence of perturbations. This approach, which is based on the matrix Riemann problem, has made it possible to avoid the use of integral equations. As an example, second-order corrections are calculated to the soliton of the nonlinear Schrodinger equation with a dissipative perturbation.

引用

页码：221 / 230

页数：10

共 10 条

[1]

Faddeev L.D., 1987, HAMILTONIAN METHOD T

[2]

Karpman V.I., 1977, ZH EKSP TEOR FIZ, V46, P281

[3] PERTURBATION EXPANSION FOR ZAKHAROV-SHABAT INVERSE SCATTERING TRANSFORM [J].