. We show that the focusing branches provide compactons solutions: solitons with compact support. We also show that the …

In this paper we study two generalized forms of the phi-four equation. Compactons: solitons with the absence of … infinite wings, conventional solitons: nonlinear localized waves with infinite support, solitary patterns solutions having …

(n,n) equations. The focusing branch exhibits compactons: solitons with finite wave lengths, whereas the defocusing branch supports …

, which exhibits compactons—solitons with finite wavelength—is solved exactly. Two numerical illustrations, K(2,2) and K(3 …

entirely new compactons, solitary patterns and periodic solutions is constructed. The study introduces new approaches and …

after the interaction of compactons are shown to be independent of the numerical method and its parameters indicating that …