Solutions to the Fifth-Order KP II Equation Scatter

Peter Perry, Camille Schuetz

The fifth-order KP II equation $${\partial }_{t}u+\alpha {\partial }_x^{3}u+\beta {\partial }_x^{5}u+u{\partial }_{x}u+{\partial }_x^{-1}{\partial }_y^{2}u=0$$ ($\beta <0$, $\alpha >0$) is a nonlinear dispersive equ…