Well-posedness for a higher-order, nonlinear, dispersive equation on a quarter plane


The focus of the current paper is the higher order nonlinear dispersive equation which models unidirectional propagation of small amplitude long waves in dispersive media. The specific interest is in the initial-boundary value problem where spatial variable lies in R+; namely, quarter plane problem. With proper requirement on initial and boundary condition, we show local and global well posedness.

Publication Title

Discrete and Continuous Dynamical Systems- Series A