SOLITONS OF THE 4TH-ORDER NONLINEAR SCHRODINGER-EQUATION

被引:29
作者
KARPMAN, VI
机构
[1] Centre for Plasma Physics and Nonlinear Dynamics, Racah Institute of Physics, Hebrew University, Jerusalem
关键词
D O I
10.1016/0375-9601(94)90964-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that solitons of the fourth order nonlinear Schrodinger equation may be both stationary and radiating, depending on the sign of the coefficient before the fourth derivative. A transition from one case to the other is investigated. An asymptotic solution describing soliton radiation is obtained and the soliton damping rate due to the radiation is calculated.
引用
收藏
页码:355 / 358
页数:4
相关论文
共 12 条
[1]   RADIATION BY SOLITONS DUE TO HIGHER-ORDER DISPERSION [J].
KARPMAN, VI .
PHYSICAL REVIEW E, 1993, 47 (03) :2073-2082
[2]   INFLUENCE OF HIGH-ORDER DISPERSION ON SELF-FOCUSING .2. NUMERICAL INVESTIGATION [J].
KARPMAN, VI ;
SHAGALOV, AG .
PHYSICS LETTERS A, 1991, 160 (06) :538-540
[3]   INFLUENCE OF HIGH-ORDER DISPERSION ON SELF-FOCUSING .1. QUALITATIVE INVESTIGATION [J].
KARPMAN, VI .
PHYSICS LETTERS A, 1991, 160 (06) :531-537
[4]   STATIONARY AND RADIATING DARK SOLITONS OF THE 3RD-ORDER NONLINEAR SCHRODINGER-EQUATION [J].
KARPMAN, VI .
PHYSICS LETTERS A, 1993, 181 (03) :211-215
[5]   RADIATING SOLITONS OF THE 5TH-ORDER KDV-TYPE EQUATIONS [J].
KARPMAN, VI .
PHYSICS LETTERS A, 1994, 186 (04) :303-308
[6]  
KARPMAN VI, 1994, IN PRESS, V186, P300
[7]   OSCILLATORY SOLITARY WAVES IN DISPERSIVE MEDIA [J].
KAWAHARA, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1972, 33 (01) :260-&
[8]   EFFECTS OF HIGHER-ORDER DISPERSION ON ENVELOPE SOLITONS [J].
KUEHL, HH ;
ZHANG, CY .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1990, 2 (05) :889-900
[9]   STRUCTURAL STABILITY OF THE KORTEWEG-DEVRIES SOLITONS UNDER A SINGULAR PERTURBATION [J].
POMEAU, Y ;
RAMANI, A ;
GRAMMATICOS, B .
PHYSICA D, 1988, 31 (01) :127-134
[10]   NONEXISTENCE OF SMALL-AMPLITUDE BREATHER SOLUTIONS IN PHI-4 THEORY [J].
SEGUR, H ;
KRUSKAL, MD .
PHYSICAL REVIEW LETTERS, 1987, 58 (08) :747-750