1 Universidad de Caldas, Calle 65 No. 26-10, P.O. Box: Apartado Aéreo 275, Manizales, Caldas, Colombia 2 Department of Mathematics, Universidad Nacional de Colombia, Carrera 27 No. 64-60, P.O. Box: Apartado Aéreo 275, Manizales, Colombia 3 Department of Mathematics, Universidad Nacional de Colombia, Calle 45, Carrera 30. P.O. Box: Apartado Aéreo 52465, Bogota, Colombia 4 Department of Mathemati...

In this paper, an application of homotopy perturbation method is appliedto nding the solutions of the seven-order Sawada-Kotera (sSK) and a Lax'sseven-order KdV (LsKdV) equations. Then obtain the exact solitary-wave so-lutions and numerical solutions of the sSK and LsKdV equations for the initialconditions. The numerical solutions are compared with the known analyticalsolutions. Their remarkabl...

Based on the N-soliton solutions of $$(2+1)$$ -dimensional Sawada–Kotera equation, collisions among lump waves, line and breather waves are studied in this paper. By introducing new constraints, wave does not collide with other forever, or stays collision forever. Under condition velocity resonance, soliton molecules consisting a wave, any number derived for first time. In particular, interacti...

This article uses the Yang transform decomposition method and homotopy perturbation to study seventh-order time-fractional Sawada–Kotera–Ito equation. The fractional derivative is taken into account in Caputo sense. We used with Adomian process procedure on problem obtain solution. looked at a single case contrasted it actual result validate methodologies. These techniques create recurrence rel...