On Soliton Interactions of Vector Nonlinear Schrodinger Equations

被引：12

作者：

Gerdjikov, V. S. ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, BU-1784 Sofia, Bulgaria

来源：

APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 3RD INTERNATIONAL CONFERENCE - AMITANS'11 | 2011年 / 1404卷

关键词：

Vector nonlinear Schrodinger equations; Soliton interactions; MULTICOMPONENT NLS MODELS; SYMMETRIC-SPACES; REDUCTIONS; EVOLUTION; WAVES;

D O I：

10.1063/1.3659904

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The N-soliton interactions of two classes of vector NLS (VNLS) equations are analyzed. It is shown that the N-soliton interactions of the VNLS related to symmetric spaces of BD. I-type, just like in the scalar case, reduce to shifts of the center of masses and of the phases, while the polarization vectors remain unchanged. The same approach applied to the standard VNLS (or the Manakov model) shows nontrivial effects of the interaction on the polarization vectors.

引用

页数：11

共 39 条

[1]

Ablowitz M.J., 2004, LONDON MATH SOC LECT

[2]

[Anonymous], HAMILTONIAN APPROACH

[3]

[Anonymous], 1974, Sov. Phys. JETP

[4]

[Anonymous], 1984, THEORY SOLITONS INVE

[5]

Doktorov E. V., 2007, MATH PHYS STUDY, V28

[6] NON-LINEAR SCHRODINGER-EQUATIONS AND SIMPLE LIE-ALGEBRAS [J].

FORDY, AP ;

KULISH, PP .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 89 (03) :427-443

[7]

Gerdjikov VS, 2010, AIP CONF PROC, V1301, P561, DOI 10.1063/1.3526658

[8]

Gerdjikov VS, 2008, LECT NOTES PHYS, V748, P3, DOI 10.1007/978-3-540-77054-1_1

[9]

Gerdjikov VS, 2009, AIP CONF PROC, V1186, P15, DOI 10.1063/1.3265325

[10] On classification of soliton solutions of multicomponent nonlinear evolution equations [J].

Gerdjikov, V. S. ;

Kaup, D. J. ;

Kostov, N. A. ;

Valchev, T. I. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (31)

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