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Browsing Boğaziçi Üniversitesi Tezleri by Subject "Hamiltonian systems."

Browsing Boğaziçi Üniversitesi Tezleri by Subject "Hamiltonian systems."

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  • Integrability of non-linear differential equations; lax formulation and bi-Hamiltonian structures 
    Güntürk, Kamil Serkan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Sciences and Engineering, 1998., 1998.)
    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 ...
  • On special solutions of Zakharov-Schulman equations 
    Bilman, Deniz. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    In this work, two types of special solutions for Zakharov–Schulman equations are studied. Existence of standing wave solutions are established by utilizing variational methods. First set conditions on the operators for the ...
  • On the integrability of the generalized Davey-Stewartson system 
    Çolak, İlker Evrim. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    A method developed by V. E. Zakharov and E. I. Shul'man for understanding the integrable cases of a given system of di erential equations having some certain Hamiltonian structure is represented. Then an application of ...
  • Signs and magnitudes of Lyapunov exponents in continuous time dynamical systems 
    Birol, İnanç. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Sciences and Engineering, 1997., 1997.)
    Methods for algebraically determining the signs and the magnitudes of Lyapunov exponents of a given dynamical system are studied.A number of Hamiltonian and dissipative systems are investigated.The existence of zero ...

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