Integrability of non-linear differential equations; lax formulation and bi-Hamiltonian structures
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Date
1998.
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Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Sciences and Engineering, 1998.
Abstract
The integrability of non-linear differential equations are studied on the basis of Lax and bi-Hamiltonian formulations. The relations between the Lax formalism and bi-Hamiltonian structures are analysed and illustrated with well known examples such as the KdV system. Various methods resulting from this analysis are then applied to multicomponent KdV equations.