Nonvanishing boundary condition for the mKdV hierarchy and the Gardner equation

被引：6

作者：

Gomes, J. F. ^{[1
]}

Franca, Guilherme S. ^{[1
]}

Zimerman, A. H. ^{[1
]}

机构：

[1] IFT UNESP, BR-01140070 Sao Paulo, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

DE-VRIES EQUATION; NONLINEAR LATTICE; WAVE-PROPAGATION; TAU-FUNCTIONS; TRANSFORMATION; SOLITONS;

D O I：

10.1088/1751-8113/45/1/015207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Kac-Moody algebra construction for the integrable hierarchy containing the Gardner equation is proposed. Solutions are systematically constructed by employing the dressing method and deformed vertex operators, which take into account the nonvanishing boundary value problem for the modified Korteweg-de Vries (mKdV) hierarchy. Explicit examples are given and besides the usual KdV-like solitons, our solutions contemplate the large amplitude table-top solitons, kinks, dark solitons, breathers and wobbles.

引用

页数：14

共 22 条

[1]

Aratyn H, 2004, SYMPHYS 11 P 11 INT

[2]

Aratyn H, 2000, P NATO ADV RES WORKS

[3] AFFINE SOLITONS - A RELATION BETWEEN TAU-FUNCTIONS, DRESSING AND BACKLUND-TRANSFORMATIONS [J].