EULER-POINCARE FORMALISM OF KDV-BURGERS AND HIGHER ORDER NONLINEAR SCHRODINGER EQUATIONS

被引：5
|
作者：
Guha, P. [1 ,2 ]
机构：
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
[2] SN Bose Natl Ctr Basic Sci, Kolkata 700098, W Bengal, India
来源：
REGULAR & CHAOTIC DYNAMICS | 2002年 / 7卷 / 04期
关键词：
D O I：
10.1070/RD2002v007n04ABEH000220
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we derive the KdV-Burgers and higher order nonlinear Schrodinger equations as an Euler-Poincare flow on the joint space of Hill's and first order differential operators on circle. We also study a quasi-hamiltonian pair of involution equations one member of which is the KdV-Burger equation.
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页码：425 / 434
页数：10
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