Graduate Program in Physics.Oğuz, Ömer.Güntürk, Kamil Serkan.2023-03-162023-03-161998.PHYS 1998 G95https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13601The 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.30 cm.Korteweg-de Vries equation.Differential equations, Nonlinear.Hamiltonian systems.vii, 71 leaves;