The Boussinesq equation simulates weakly nonlinear and long wave approximation that can
be used in water waves, coastal engineering, and numerical models for water wave …

Different types of soliton wave solutions for the (3+ 1)-dimensional Kadomtsev-Petviashvili
and the generalized Boussinesq equations are investigated via the solitary wave ansatz …

In this article, the closed form general and standard solutions accessible in the literature of
nonlinear evolution equation (NLEE), namely, the Fokas-Lenells (FL) equation is …

This paper studies the nonlinear fractional undamped Duffing equation. The Duffing
equation is one of the fundamental equations in engineering. The geographical areas of this …

Abstract The Landau-Ginzburg-Higgs equation and the modified equal width wave equation
(MEWE) underscore to describe superconductivity and unidirectional wave propagation in …

This article investigates the new results of three nonlinear conformable models (NLCMs). To
study such varieties of new soliton structures, we perform the generalized Kudryashov (GK) …

The higher order of nonlinear partial differential equations in mathematical physics is
studied. We used the analytical mathematical methods of the nonlinear (3+ 1)-dimensional …

In this paper, we examine the optical soliton solutions of nonlinear partial differential
equations belonging to the nonlinear Schrödinger (NLS) class which includes cubic …

A nonlinear fractional model arising in water waves theory, namely the new conformable
space–time fractional (4+ 1)-dimensional Fokas equation, is explored via some recently …

Abstract The Zakharov-Kuznetsov Benjamin-Bona-Mahony equation and its generalized
form, considered in this study are two notable models for describing the magneto-acoustic …