Negative even grade mKdV hierarchy and its soliton solutions

被引：21

作者：

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

Franca, G. Starvaggi ^{[1
]}

de Melo, G. R. ^{[1
]}

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

机构：

[1] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 44期

关键词：

TAU-FUNCTIONS;

D O I：

10.1088/1751-8113/42/44/445204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we provide an algebraic construction for the negative even mKdV hierarchy which gives rise to time evolutions associated with even graded Lie algebraic structures. We propose a modification of the dressing method, in order to incorporate a non-trivial vacuum configuration and construct a deformed vertex operator for (s) over capl(2) that enable us to obtain explicit and systematic solutions for the whole negative even grade equations.

引用

页数：11

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