Some general periodic solutions to coupled nonlinear Schrodinger equations

被引:108
作者
Porubov, AV
Parker, DF
机构
[1] Univ Edinburgh, Dept Math & Stat, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Russian Acad Sci, AF Ioffe Phys Tech Inst, St Petersburg 194021, Russia
[3] Russian Minist Sci, Inst High Performance Comp & Data Bases, St Petersburg 194291, Russia
关键词
D O I
10.1016/S0165-2125(98)00033-X
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Exact travelling wave periodic solutions of a pair of coupled nonlinear Schrodinger equations are obtained in terms of the Weierstrass elliptic g-function. These solutions which are of one and the same functional form describe, in particular, two novel classes of bounded periodic and solitary wave solutions of considerable physical interest, while previously known bounded periodic and solitary wave solutions turn out to be just special cases of them. (C) 1999 Elsevier Science B.V. All rights reserved.
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页码:97 / 109
页数:13
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