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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 4, Pages 425–434
DOI: https://doi.org/10.1070/RD2002v007n04ABEH000220 (Mi rcd827) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Euler–Poincaré Formalism of KDV–Burgers and Higher Order Nonlinear Schrodinger Equations

P. Guhaab

a S.N. Bose National Centre for Basic Sciences, JD Block, Sector-3, Salt Lake, Calcutta-700098, INDIA
b Department of Mathematics, 202 Mathematical Sciences Building, University of Missouri, Columbia MO, 65211 USA
Citations (4)
DOI: https://doi.org/10.1070/RD2002v007n04ABEH000220
Abstract: In this paper we derive the KdV–Burgers and higher order nonlinear Schrodinger equations as an Euler–Poincaré 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.
Received: 01.05.2002
Bibliographic databases:
Document Type: Article
MSC: 35Q53, 14G32
Language: English
Citation: P. Guha, “Euler–Poincaré Formalism of KDV–Burgers and Higher Order Nonlinear Schrodinger Equations”, Regul. Chaotic Dyn., 7:4 (2002), 425–434
Citation in format AMSBIB
\Bibitem{Guh02}
\by P.~Guha
\paper Euler–Poincar\'{e} Formalism of KDV–Burgers and Higher Order Nonlinear Schrodinger Equations
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 4
\pages 425--434
\mathnet{http://mi.mathnet.ru/rcd827}
\crossref{https://doi.org/10.1070/RD2002v007n04ABEH000220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1957274}
\zmath{https://zbmath.org/?q=an:1023.37042}
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    • This publication is cited in the following 4 articles:
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