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Öğe Existence of Local Solution for a Double Dispersive Bad Boussinesq-Type Equation(Amer Inst Physics, 2012) Dundar, Nurhan; Polat, NecatThis work studies a purely spatial higher order bad Boussinesq-type equation. The local existence of the solution was given by aid of contraction mapping principle.Öğe On the local well-posedness of a generalized two-component Camassa-Holm system(Amer Inst Physics, 2015) Dundar, Nurhan; Polat, NecatIn this work, we study the Cauchy problem of a generalized two-component Camassa-Holm system which arises in shallow water theory. We establish the local well-posedness of the generalized two-component Camassa-Holm system by Kato's semigroup theory.Öğe Stability of Solitary Waves for a Generalized Higher-Order Shallow Water Equation(Univ Nis, Fac Sci Math, 2014) Dundar, Nurhan; Polat, NecatIn this work, we consider solitary wave solutions of a generalized higher-order shallow water equation. We investigate the existence and stability of solitary waves of the equation.
