MULTIPLE LOCAL LAGRANGIANS FOR n-COMPONENT SUPER-KORTEWEG DE VRIES-TYPE BI-HAMILTONIAN SYSTEMS

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Oguz O., YAZICI D.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.25, no.5, pp.1069-1078, 2010 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 25 Issue: 5
• Publication Date: 2010
• Doi Number: 10.1142/s0217751x10048974
• Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1069-1078
• Yıldız Technical University Affiliated: Yes

Abstract

The multiple Lagrangian formalism is constructed for n-component Korteweg-de Vries (KdV) type superintegrable systems. They all admit bi-Hamiltonian structure. The first two Lagrangians are local and degenerate. They contain Clebsch potentials for velocity fields and momentum maps in kinetic term. The first local Lagrangian for n-component supermodified KdV (smKdV) is also obtained by employing the multicomponent super-Miura transformation.