A Study for Obtaining more Compacton Solutions of the Modified Form of Fifth-order Korteweg-De Vries-like Equations

For a < 0 one obtains solitary patterns having cusps or infinite slopes [2]. They discovered solitary waves, called compactons, with a compact support characterized by the absence of infinite wings or the absence of infinite tails. If a = 1, then (1) has a focusing (+) branch that exhibits compacton solutions. If a = −1, then (1) has a defocusing (−) branch that exhibits solitary pattern solutions. More studies of compacton and solitary pattern solutions of the nonlinear dispersive equations can be found in [1 – 13]. We consist the following modified nonlinear dispersive fifth-order KdV-like equations (shortly called m f K(m,n,k, p) for (3)) in higher-dimensional spaces: