Lattice representation and dark solitons of the Fokas-Lenells equation

被引：51

作者：

Vekslerchik, V. E. ^{[1
,2
]}

机构：

[1] Ukrainian Acad Sci, Inst Radiophys & Elect, UA-310085 Kharkov, Ukraine

[2] Univ Castilla La Mancha, E-13071 Ciudad Real, Spain

来源：

NONLINEARITY | 2011年 / 24卷 / 04期

关键词：

D O I：

10.1088/0951-7715/24/4/008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to an integrable generalization of the nonlinear Schrodinger equation proposed by Fokas and Lenells. I discuss the relationships between this equation and other integrable models. Using the reduction of the Fokas-Lenells equation to the already known ones I obtain the N-dark soliton solutions.

引用

页码：1165 / 1175

页数：11

共 8 条

[1]

FOKAS A, 1995, STUD APPL MATH, V87, P215

[2] On a novel integrable generalization of the nonlinear Schrodinger equation [J].

Lenells, J. ;

Fokas, A. S. .

NONLINEARITY, 2009, 22 (01) :11-27

[3] A NOVEL HIERARCHY OF INTEGRABLE LATTICES [J].

MEROLA, I ;

RAGNISCO, O ;

ZHANG, TG .

INVERSE PROBLEMS, 1994, 10 (06) :1315-1334

[4] DISCRETE NONLINEAR SCHRODINGER-EQUATION UNDER NONVANISHING BOUNDARY-CONDITIONS [J].

VEKSLERCHIK, VE ;

KONOTOP, VV .

INVERSE PROBLEMS, 1992, 8 (06) :889-909

[5] The Davey-Stewartson equation and the Ablowitz-Ladik hierarchy [J].

Vekslerchik, VE .

INVERSE PROBLEMS, 1996, 12 (06) :1057-1074

[6] THE 2D TODA LATTICE AND THE ABLOWITZ-LADIK HIERARCHY [J].

VEKSLERCHIK, VE .

INVERSE PROBLEMS, 1995, 11 (02) :463-479

[7]

VEKSLERCHIK VE, ARXIVSOLVINT9807005

[8]

VEKSLERCHIK VE, 1998, IC1998052 ICTP

← 1 →