Inverse problem of variational calculus for nonlinear evolution equations

dc.creatorAli, Sk. Golam
dc.creatorTalukdar, B.
dc.creatorDas, U.
dc.date2006-03-17
dc.date2007-01-11
dc.date.accessioned2026-07-07T08:08:57Z
dc.date.available2026-07-07T08:08:57Z
dc.descriptionWe couple a nonlinear evolution equation with an associated one and derive the action principle. This allows us to write the Lagrangian density of the system in terms of the original field variables rather than Casimir potentials. We find that the corresponding Hamiltonian density provides a natural basis to recast the pair of equations in the canonical form. Amongst the case studies presented the KdV and modified KdV pairs exhibit bi-Hamiltonian structure and allow one to realize the associated fields in physical terms
dc.description6 pages, no figure,To appear in the June (2007) issue of Acta Physica Polonica B
dc.identifierhttps://arxiv.org/abs/nlin/0603037
dc.identifierhttp://arxiv.org/abs/nlin/0603037
dc.identifierActa Physica Polonica B 1993,38(2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131437
dc.subjectExactly Solvable and Integrable Systems
dc.titleInverse problem of variational calculus for nonlinear evolution equations
dc.typetext

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