Compactons in PT mathcal{P}mathcal{T} -symmetric generalized Korteweg-de Vries equations

摘要

This paper considers the -symmetric extensions of the equations examined by Cooper, Shepard and Sodano. From the scaling properties of the -symmetric equations a general theorem relating the energy, momentum and velocity of any solitarywave solution of the generalized KdV equation is derived. We also discuss the stability of the compacton solution as a function of the parameters affecting the nonlinearities.