On the Hirota representation of soliton equations with one tau-function

被引：14

作者：

Lambert, F ^{[1
]}

Loris, I ^{[1
]}

Springael, J ^{[1
]}

Willox, R ^{[1
]}

机构：

[1] Free Univ Brussels, Dienst Theoret Nat Kunde, B-1050 Brussels, Belgium

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2001年 / 70卷 / 03期

关键词：

solitons; integrable equations; bilinear method; sine-Gordon equation;

D O I：

10.1143/JPSJ.70.605

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Alternative Hirota representations in terms of a single tan-function are derived for a variety of soliton equations, including the sine-Gordon and the Tzitzeica equations. The relevance of these representations with respect to known bilinear representations of integrable hierarchies is briefly discussed. The essentials of the derivation method are presented.

引用

页码：605 / 608

页数：4

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