Inverse problem of the variational calculus for higher KdV equations |
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Authors: | B Talukdar S Ghosh J Shamanna P Sarkar |
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Institution: | (1) Department of Physics, Visva-Bharati University, Santiniketan 731 235, India, IN;(2) Department of Chemistry, Visva-Bharati University, Santiniketan 731 235, India, IN |
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Abstract: | It is shown that the usual Hamilton's variational principle supplemented by the methodology of the integer-programming problem
can be used to construct expressions for the Lagrangian densities of higher KdV fields. This is demonstrated with special
emphasis on the second and third members of the hierarchy. However, the method is general enough for applications to equations
of any order. The expressions for Lagrangian densities are used to calculate results for Hamiltonian densities that characterize
Zakharov-Faddeev-Gardner equation.
Received 27 January 2002 / Received in final form 6 May 2002 Published online 24 September 2002 |
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Keywords: | PACS 47 20 Ky Nonlinearity (including bifurcation theory) – 42 81 Dp Propagation scattering aaand losses solitons |
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