ANALYTIC CRITERION FOR SOLITON INSTABILITY IN A NONLINEAR FIBER ARRAY

被引:40
作者
LAEDKE, EW [1 ]
SPATSCHEK, KH [1 ]
TURITSYN, SK [1 ]
MEZENTSEV, VK [1 ]
机构
[1] INST AUTOMAT & ELECTROMETRY,NOVOSIBIRSK 630090,RUSSIA
来源
PHYSICAL REVIEW E | 1995年 / 52卷 / 05期
关键词
D O I
10.1103/PhysRevE.52.5549
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The stability problem for the so-called continuous-discrete solitons in a nonlinear fiber array is examined. We prove that the ground states are unstable if the first derivative of the ''energy'' integral P = Sigma(n) integral\Psi(n)\(2)dt with respect to the soliton parameter lambda(2) is negative.
引用
收藏
页码:5549 / 5554
页数:6
相关论文
共 19 条
[1]  
ABLOWITZ MJ, 1976, STUD APPL MATH, V55, P213
[2]   MULTIDIMENSIONAL SOLITONS IN FIBER ARRAYS [J].
ACEVES, AB ;
DEANGELIS, C ;
RUBENCHIK, AM ;
TURITSYN, SK .
OPTICS LETTERS, 1994, 19 (05) :329-331
[3]  
ACEVES AB, 1995, OPT FIBER TECHNOL, V2, P1
[4]  
BANG O, 1993, NONLINEARITY, V7, P205
[5]   STATIONARY PULSE-PROPAGATION IN N-CORE NONLINEAR FIBER ARRAYS [J].
BURYAK, AV ;
AKHMEDIEV, NN .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1995, 31 (04) :682-688
[6]   DISCRETE SELF-FOCUSING IN NONLINEAR ARRAYS OF COUPLED WAVE-GUIDES [J].
CHRISTODOULIDES, DN ;
JOSEPH, RI .
OPTICS LETTERS, 1988, 13 (09) :794-796
[7]   ROBUST BISTABLE SOLITONS OF THE HIGHLY NONLINEAR SCHRODINGER-EQUATION [J].
ENNS, RH ;
RANGNEKAR, SS ;
KAPLAN, AE .
PHYSICAL REVIEW A, 1987, 35 (01) :466-469
[8]   BISTABLE SOLITONS [J].
KAPLAN, AE .
PHYSICAL REVIEW LETTERS, 1985, 55 (12) :1291-1294
[9]   MODULATIONAL INSTABILITIES IN DISCRETE LATTICES [J].
KIVSHAR, YS ;
PEYRARD, M .
PHYSICAL REVIEW A, 1992, 46 (06) :3198-3205
[10]   CREATION OF NONLINEAR LOCALIZED MODES IN DISCRETE LATTICES [J].
KIVSHAR, YS .
PHYSICAL REVIEW E, 1993, 48 (05) :4132-4135