This article studies the generalized (2+ 1)-dimensional shallow water equation by applying
two recent analytical schemes (the extended simplest equation method and the modified …

In the present article, our main aim is to construct abundant exact solutions for the (2+ 1)(2+
1)-dimensional Kadomtsev–Petviashvili-Benjamin–Bona–Mahony (KP-BBM) equation by …

Abstract In this article, a (2+ 1)-dimensional system of Broer–Kaup–Kupershmidt (BKK)
equations, which describes the non-linear, and long gravity waves in a dispersive system, is …

In this paper, we consider the Biswas-Arshed model (BAM) with nonlinear Kerr and power
law. We integrate these nonlinear structures of the BAM to obtain optical exact solitons that …

Solitary waves are usually outcome of nonlinear and dispersive effects. The Date–Jimbo–
Kashiwara–Miwa equation is dispersive and highly nonlinear soliton equation. The Date …

In this article, plenty of wave solutions of the (2+ 1)-dimensional Kadomtsev–Petviashvili–
Benjamin–Bona–Mahony ((2+ 1)-D KP-BBM) model are constructed by employing two …

The present research framework looks over complete sorted symmetry group classification
and optimal subalgebras of (2+ 1)-dimensional modified Bogoyavlenskii-Schiff (mBSchiff) …

This article investigates nonlinear behavior of ion acoustic waves in a plasma with
superthermal electrons and isothermal positrons. We consider the KdV–Burgers equation …

Offshore structures are utilized in several fields, including marine engineering, the oil and
gas industries, energy harvesting systems, transportation, aquaculture, and more. The exact …

The present work deals with highly nonlinear dispersive water equation named Boiti–Leon–
Pempinelli (BLP) system, which is a well known two dimensional generalization of sinh …