Eur. Phys. J. D (2022) 76: 14
https://doi.org/10.1140/epjd/s10053-022-00351-4

Regular Article – Nonlinear Dynamics

Dispersive multiple lump solutions and soliton’s interaction to the nonlinear dynamical model and its stability analysis

Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Gujrat, Pakistan

Received: 9 October 2021
Accepted: 17 January 2022
Published online: 29 January 2022

Abstract

In this manuscript, we successfully apply the Hirota’s bilinear method and extended sinh-Gordon equation expansion method to analyze different wave structures for the (2+1)-dimensional nonlinear Zakharov–Kuznetsov modified equal-width equation by considering the test function approaches. We secure some novel combo form bright, dark, singular breather waves, lump periodic, and two-wave solutions. Modulation instability analysis of the given model also be analyzed. Furthermore, the physical behavior of the achieved results is sketched through 3-dimensional, 2-dimensional and contour profiles with the assistance of suitable parameters. The results obtained are exceptional in comparison with previous findings in the literature. Computation packages are used to verify all of the secured results by putting them back into the original model equation. Thus our strategies through fortress of representative calculations give a functioning and intense mathematical execute for tackling complicated nonlinear wave issues.