The higher dimensional extensions for the Calogero Korteweg-de Vries equation

被引：0

作者：

Toda, K ^{[1
]}

Yu, SJ ^{[1
]}

机构：

[1] Ritsumeikan Univ, Dept Phys, Shiga 5258577, Japan

来源：

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79 | 2000年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First of all, we show the existence of the Lax pair for the Calogero Korteweg-de Vries(CKdV) equation, Next we modify T operator that is one of the Lax pair for the CKdV equation for the search of the (2 + 1)-dimensional case and propose a new equation in (2 + 1) dimensions. We call it the (2 + 1)-dimensional CKdV equation. And then we discuss the modification of L operator that is another of the Lax pair of the CKdV equation. Moreover we attempt the modification of L and T operators.

引用

页码：203 / 206

页数：4

共 10 条

[1]

Bogoyavlenskii O I., 1990, Math. USSR Izv, V34, P245, DOI [10.1070/IM1990v034n02ABEH000628, DOI 10.1070/IM1990V034N02ABEH000628]

[2] METHOD TO GENERATE SOLVABLE NONLINEAR EVOLUTION EQUATIONS [J].