Special set and solutions of coupled nonlinear Schrodinger equations

被引：56

作者：

Hioe, FT ^{[1
]}

Salter, TS

机构：

[1] St John Fisher Coll, Dept Phys, Rochester, NY 14618 USA

[2] Pictometry Int Corp, Rochester, NY 14623 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 42期

关键词：

D O I：

10.1088/0305-4470/35/42/303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A special set of N-coupled nonlinear Schrodinger equations which consists of 2(N) interaction types each of which is characterized by a specific array of interaction parameters is presented. It is shown that every Lame function of order n less than or equal to N is a solution for one or more components for one or more interaction types of this special set. Simple rules that relate interaction and solution types and interesting features of these relationships are presented.

引用

页码：8913 / 8928

页数：16

共 17 条

[1] AGRAWAL GP, 2001, NONLINEAR FIBER OPTI, pCH7
[2] Partially coherent solitons on a finite background
Akhmediev, N
Ankiewicz, A
[J]. PHYSICAL REVIEW LETTERS, 1999, 82 (13) : 2661 - 2664
[3] Partially coherent solitons of variable shape in a slow Kerr-like medium:: Exact solutions
Ankiewicz, A
Królikowski, W
Akhmediev, NN
[J]. PHYSICAL REVIEW E, 1999, 59 (05) : 6079 - 6087
[4] Periodic solutions for a system of four coupled nonlinear Schrodinger equations
Chow, KW
[J]. PHYSICS LETTERS A, 2001, 285 (5-6) : 319 - 326
[5] ERDELYI A, 1955, HIGH TRANSCENDENTAL, V3, pCH15
[6] PERIODIC AND SOLITARY WAVES IN BIMODAL OPTICAL FIBERS
FLORJANCZYK, M
TREMBLAY, R
[J]. PHYSICS LETTERS A, 1989, 141 (1-2) : 34 - 36
[7] Analytic solutions of some coupled nonlinear equations (vol 56, pg 7253, 1997)
Hioe, FT
[J]. PHYSICAL REVIEW E, 1998, 58 (01): : 1174 - 1174
[8] Coupled Gross-Pitaevskii equations with a square-well and a Coulomb potential
Hioe, FT
Carroll, CE
[J]. PHYSICS LETTERS A, 2002, 299 (2-3) : 189 - 196
[9] Solitary waves and N coupled nonlinear equations
Hioe, FT
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (07): : 1217 - 1223
[10] Solitary waves for N coupled nonlinear Schrodinger equations
Hioe, FT
[J]. PHYSICAL REVIEW LETTERS, 1999, 82 (06) : 1152 - 1155

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