The Kadomtsev–Petviashvili (KP) equation describes weakly dispersive and small amplitude waves propagating in a quasi-two-dimensional situation. Recently a large variety of exact soliton solutions of the KP equation has been found and classified. Those soliton solutions are localized along...

We show that dissipative solitons (dissipatons) of the second and the third members of SL(2,R) AKNS hierarchy give rise to the real solitons of KP-II, while for SL(2,R) Kaup-Newell hierarchy they give solitons of MKP-II. By the Hirota bilinear form for both flows, we find new bilinear system for...

We study the propagation of electromagnetic wave (EMW) in an isotropic charge-free infinite ferromagnetic thin film by solving the associated coupled Maxwell and Landau–Lifshitz (LL) equations in (2+1) dimensions using a reductive perturbation method. The dynamical equations reduce to the...