Compacton, peakon, cuspons, loop solutions and smooth solitons for the generalized KP–MEW equation

Some Smooth and Nonsmooth Traveling Wave Solutions for KP-MEW(2, 2) Equation

“…ey used the theory of bifurcations of planar dynamical systems to find compactonlike wave and a kink-like wave for (6) when integral constant g was not neglected. After that, (6) was investigated to find the peakon soliton, cuspon soliton, and smooth soliton solutions on the boundary condition by using the phase portrait analytical technique [13,14]. Particularly, the generalized KP-MEW equation is the nonlinear PDEs which described the propagation of long wave with dissipation and dispersion in nonlinear media.…”

Analytic and loop solutions for the K(2,2) equation (focusing branch)

“…The loop solution, that is, the so-called loop soliton solution, is not one real soliton solution (see [5,6,15]). …”