In this paper, 1-lump solution and 2-lump of a (2 + 1)-dimensional Sawada-Kotera-like equation are obtained by means the Hirota’s bilinear method long wave limit method. The propagation orbits, velocities collisions among waves analyzed. By setting parameter values, dynamic characteristics solutions shown in 3D density plots. These conclusions enrich dynamical theory higher-dimensional nonlinea...

A one-parameter generalization of the hierarchy negative flows is introduced for integrable hierarchies evolution equations, which yields a wider (new) class non-evolutionary nonlinear wave equations. As main results, several integrability properties these generalized flow equation are established, including their symmetry structure, conservation laws, and bi-Hamiltonian formulation. (The resul...

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 rem...

Abstract In this paper, the KdV-Sawada-Kotera-Ramani(KdVSKR) equation in various dimensions are studied. The bilinear form of (1+1)-dimensional and (2+1)-dimensional KdVSKR obtained by independent transformation. Based on Hirota method, we constructed new interaction solutions studying unknown nonlinear differential equations for corresponding parameters. Three dimensional plots, density plots ...

By N -soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate resonances of solitons in one-dimensional space. An asymmetric can be formed by adjusting distance between two molecule small enough. The interactions a...

In this investigation, a novel (3+1)-dimensional Lax integrable Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation is constructed and analyzed analytically. The Painlevé integrability for the mentioned model examined. bilinear form applied investigating multiple-soliton solutions. Moreover, we employ positive quadratic function method to create class of lump solutions using distinct parameter...