Solitary waves for two and three coupled nonlinear Schrodinger equations

被引：52

作者：

Hioe, FT ^{[1
]}

机构：

[1] St John Fisher Coll, Dept Phys, Rochester, NY 14618 USA

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.58.6700

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：

We present solitary-wave solutions of two and three coupled nonlinear Schrodinger equations when the waves propagate in the normal and anomalous group-velocity dispersion regions. A wave of the form sech(2) xi-2/3 is found, which, together with two known waves of the forms tanh xi sech xi and sech(2) xi, are shown to form a new generation of complementary waves. The implication of this wave set and its applications to coupled solitary-wave propagation is discussed. [S1063-651X(98)07411-X].

引用

页码：6700 / 6707

页数：8

共 17 条

[1] DYNAMICS OF COUPLED DARK AND BRIGHT OPTICAL SOLITONS [J].

AFANASYEV, VV ;

KIVSHAR, YS ;

KONOTOP, VV ;

SERKIN, VN .

OPTICS LETTERS, 1989, 14 (15) :805-807

[2]

Agrawal G, 1989, Nonlinear Fiber Optics

[3] VECTOR SOLITONS IN BIREFRINGENT NONLINEAR DISPERSIVE MEDIA [J].

CHRISTODOULIDES, DN ;

JOSEPH, RI .

OPTICS LETTERS, 1988, 13 (01) :53-55

[4] PERIODIC AND SOLITARY WAVES IN BIMODAL OPTICAL FIBERS [J].

FLORJANCZYK, M ;

TREMBLAY, R .

PHYSICS LETTERS A, 1989, 141 (1-2) :34-36

[5] FORMATION OF SHAPE-PRESERVING PULSES IN A NONLINEAR ADIABATICALLY INTEGRABLE SYSTEM [J].

GROBE, R ;

HIOE, FT ;

EBERLY, JH .

PHYSICAL REVIEW LETTERS, 1994, 73 (24) :3183-3186

[6] Electromagnetically induced transparency [J].

Harris, SE .

PHYSICS TODAY, 1997, 50 (07) :36-42

[7] Superposition solutions of coupled nonlinear equations [J].

Hioe, FT .

PHYSICS LETTERS A, 1997, 234 (05) :351-357

[8] Analytic solutions of some coupled nonlinear equations [J].

Hioe, FT .

PHYSICAL REVIEW E, 1997, 56 (06) :7253-7256

[9] Analytic solutions of some coupled nonlinear equations (vol 56, pg 7253, 1997) [J].

Hioe, FT .

PHYSICAL REVIEW E, 1998, 58 (01) :1174-1174

[10] MATCHED OPTICAL SOLITARY WAVES FOR 3-LEVEL AND 5-LEVEL SYSTEMS [J].

HIOE, FT ;

GROBE, R .

PHYSICAL REVIEW LETTERS, 1994, 73 (19) :2559-2562

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