GAUGE TRANSFORMATIONS AMONG GENERALIZED NONLINEAR SCHRODINGER-EQUATIONS

被引：21

作者：

HISAKADO, M

WADATI, M

机构：

[1] Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1994年 / 63卷 / 11期

关键词：

COUPLED NONLINEAR SCHRODINGER EQUATION; COUPLED DERIVATIVE NONLINEAR SCHRODINGER EQUATION; GAUGE TRANSFORMATION; INVERSE SCATTERING METHOD;

D O I：

10.1143/JPSJ.63.3962

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The gauge transformations for (n+1)x(n+1) eigenvalue problems are introduced. In particular, extended forms of Ablowitz-Kaup-Newell-Segur (AKNS) system and Kaup-Newell (KN) system are found to be related by the gauge transformation. As an application of this theory, the interrelations between the coupled nonlinear Schrodinger equation and the coupled derivative nonlinear Schrodinger equation are explicitly shown.

引用

页码：3962 / 3966

页数：5

共 12 条

[1] ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249
[2] NON-LINEAR SCHRODINGER-EQUATIONS AND SIMPLE LIE-ALGEBRAS
FORDY, AP
KULISH, PP
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 89 (03) : 427 - 443
[3] FORDY AP, 1984, J PHYS A-MATH GEN, V17, P1235, DOI 10.1088/0305-4470/17/6/019
[4] TRANSMISSION OF STATIONARY NONLINEAR OPTICAL PULSES IN DISPERSIVE DIELECTRIC FIBERS .1. ANOMALOUS DISPERSION
HASEGAWA, A
TAPPERT, F
[J]. APPLIED PHYSICS LETTERS, 1973, 23 (03) : 142 - 144
[5] HISAKADO M, IN PRESS J PHY SOC J
[6] EXACT SOLUTION FOR A DERIVATIVE NON-LINEAR SCHRODINGER EQUATION
KAUP, DJ
NEWELL, AC
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (04) : 798 - 801
[7] MANAKOV SV, 1974, SOV PHYS JETP, V38, P24
[8] SOLITON PROPAGATION ALONG OPTICAL FIBERS
OHKUMA, K
ICHIKAWA, YH
ABE, Y
[J]. OPTICS LETTERS, 1987, 12 (07) : 516 - 518
[9] TZOAR N, 1981, PHYS REV A, V23, P1226
[10] GAUGE TRANSFORMATIONS IN SOLITON THEORY
WADATI, M
SOGO, K
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (02) : 394 - 398

← 1 2 →