NONEXISTENCE OF GAP SOLITONS IN NONLINEARLY COUPLED SYSTEMS

被引:8
作者
GRIMSHAW, R [1 ]
MALOMED, BA [1 ]
机构
[1] TEL AVIV UNIV,SCH MATH SCI,DEPT APPL MATH,IL-69978 TEL AVIV,ISRAEL
关键词
D O I
10.1016/0375-9601(95)00032-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a model consisting of two subsystems with crossing linear dispersion curves, in the case when the coupling between the subsystems is purely nonlinear, so that the crossing does not give rise to a gap in the linear spectrum. We demonstrate that there is a fairly general mechanism precluding the existence of (bright) solitons in systems of this type.
引用
收藏
页码:205 / 208
页数:4
相关论文
共 12 条
[1]   SELF-INDUCED TRANSPARENCY SOLITONS IN NONLINEAR REFRACTIVE PERIODIC MEDIA [J].
ACEVES, AB ;
WABNITZ, S .
PHYSICS LETTERS A, 1989, 141 (1-2) :37-42
[2]   GAP SOLITONS AND THE NONLINEAR OPTICAL-RESPONSE OF SUPERLATTICES [J].
CHEN, W ;
MILLS, DL .
PHYSICAL REVIEW LETTERS, 1987, 58 (02) :160-163
[3]   SLOW BRAGG SOLITONS IN NONLINEAR PERIODIC STRUCTURES [J].
CHRISTODOULIDES, DN ;
JOSEPH, RI .
PHYSICAL REVIEW LETTERS, 1989, 62 (15) :1746-1749
[4]   LAUNCHING OF GAP SOLITONS IN NONUNIFORM GRATINGS [J].
DESTERKE, CM ;
SIPE, JE .
OPTICS LETTERS, 1993, 18 (04) :269-271
[5]   SELF-LOCALIZED LIGHT - LAUNCHING OF LOW-VELOCITY SOLITONS IN CORRUGATED NONLINEAR WAVE-GUIDES [J].
DESTERKE, CM ;
SIPE, JE .
OPTICS LETTERS, 1989, 14 (16) :871-873
[6]  
FLYTZANIS N, IN PRESS
[7]   NEW-TYPE OF GAP SOLITON IN A COUPLED KORTEWEG-DE VRIES WAVE SYSTEM [J].
GRIMSHAW, R ;
MADOMED, BA .
PHYSICAL REVIEW LETTERS, 1994, 72 (07) :949-953
[8]  
GRIMSHAW R, 1984, STUD APPL MATH, V70, P235
[9]   SELF-INDUCED GAP SOLITONS [J].
KIVSHAR, YS .
PHYSICAL REVIEW LETTERS, 1993, 70 (20) :3055-3058
[10]   GAP SOLITONS IN DIATOMIC LATTICES [J].
KIVSHAR, YS ;
FLYTZANIS, N .
PHYSICAL REVIEW A, 1992, 46 (12) :7972-7978