DYNAMICS AND INTERACTION OF SOLITONS ON AN INTEGRABLE INHOMOGENEOUS LATTICE

被引：91

作者：

KONOTOP, VV ^{[1
]}

CHUBYKALO, OA ^{[1
]}

VAZQUEZ, L ^{[1
]}

机构：

[1] UNIV COMPLUTENSE MADRID,FAC CIENCIAS FIS,DEPT FIS TEOR 1,E-28040 MADRID,SPAIN

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.48.563

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 discuss different aspects of one-soliton and multisoliton dynamics governed by the lattice equation ipsi(n) + (psi(n-1) + psi(n+1))(1 + \psi(n)\2)-2gamma(t)npsi(n) = 0. We propose reduction of this equation, drastically simplifying its treatment by means of the inverse scattering technique.

引用

页码：563 / 568

页数：6

共 9 条

[1] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS [J].

ABLOWITZ, MJ ;

LADIK, JF .

JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (03) :598-603

[2] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS AND FOURIER-ANALYSIS [J].

ABLOWITZ, MJ ;

LADIK, JF .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (06) :1011-1018

[3] SOLITON PROPAGATION IN NONUNIFORM MEDIA [J].

BALAKRISHNAN, R .

PHYSICAL REVIEW A, 1985, 32 (02) :1144-1149

[4]

BESIERIS IM, 1980, NONLINEAR ELECTROMAG

[5] SOLITONS IN NONUNIFORM MEDIA [J].

CHEN, HH ;

LIU, CS .

PHYSICAL REVIEW LETTERS, 1976, 37 (11) :693-697

[6] EXPANSIONS OVER THE SQUARED SOLUTIONS AND DIFFERENCE EVOLUTION-EQUATIONS [J].

GERDJIKOV, VS ;

IVANOV, MI ;

KULISH, PP .

JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (01) :25-34

[7]

KONOTOP VV, 1993, PHYS REV E, V47, P1473

[8] PROPERTIES OF THE NONLINEAR SCHRODINGER-EQUATION ON A LATTICE [J].

SCHARF, R ;

BISHOP, AR .

PHYSICAL REVIEW A, 1991, 43 (12) :6535-6544

[9]

Ziman JM, 1964, PRINCIPLES THEORY SO

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