Existence of Local Solution for a Double Dispersive Bad Boussinesq-Type Equation

Subject Applied Mathematics
Title Existence of Local Solution for a Double Dispersive Bad Boussinesq-Type Equation
Author(s) Nurhan Dündar, Necat Polat
Keywords Bad Boussinesq equation; Local existence; Conservation laws.
Abstract

In this work, we consider a purely spatial higher order bad Boussinesq-type equation. We obtain the existence and uniqueness of the local solutions. The local existence of the solution is given by aid of contraction mapping principle.