EVOLUTION OF NONSOLITON AND QUASI-CLASSICAL WAVETRAINS IN NONLINEAR SCHRODINGER AND KORTEWEG-DEVRIES EQUATIONS WITH DISSIPATIVE PERTURBATIONS

被引:160
作者
MALOMED, BA
机构
来源
PHYSICA D | 1987年 / 29卷 / 1-2期
关键词
D O I
10.1016/0167-2789(87)90052-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:155 / 172
页数:18
相关论文
共 26 条
[1]   ADIABATIC INVARIANTS THEORY OF NEAR-INTEGRABLE SYSTEMS WITH DAMPING [J].
BULLOUGH, RK ;
FORDY, AP ;
MANAKOV, SV .
PHYSICS LETTERS A, 1982, 91 (03) :98-100
[2]   CONVECTION PATTERNS IN LARGE ASPECT RATIO SYSTEMS [J].
CROSS, MC ;
NEWELL, AC .
PHYSICA D-NONLINEAR PHENOMENA, 1984, 10 (03) :299-328
[3]  
DIPRIMA R, 1971, J FLUID MECH, V48, P705
[4]  
FABRIKANT AL, 1984, EXP TEOR FIZ, V86, P470
[5]   MULTIPHASE AVERAGING AND THE INVERSE SPECTRAL SOLUTION OF THE KORTEWEG-DEVRIES EQUATION [J].
FLASCHKA, H ;
FOREST, MG ;
MCLAUGHLIN, DW .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (06) :739-784
[6]  
Gorev V. V., 1976, Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, V19, P691
[7]  
ITZYKSON C, 1978, QUANTUM FIELD THEORY
[8]  
KARPMAN VI, 1977, ZH EKSP TEOR FIZ+, V73, P537
[9]   SOLITONS AS PARTICLES, OSCILLATORS, AND IN SLOWLY CHANGING MEDIA - SINGULAR PERTURBATION-THEORY [J].
KAUP, DJ ;
NEWELL, AC .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1978, 361 (1707) :413-446
[10]   NONLINEAR DISPERSIVE PERIODIC-WAVES IN THE PRESENCE OF INSTABILITY AND DAMPING [J].
KAWAHARA, T ;
TOH, S .
PHYSICS OF FLUIDS, 1985, 28 (06) :1636-1638