We compute N-soliton solutions and analyze the Hirota N-soliton conditions, in (2+ 1)-
dimensions, based on the Hirota bilinear formulation. An algorithm to check the Hirota …

This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by
devising suitable novel hyperbolic and exponential ansatze. The class under consideration …

The major goal of the current paper is to conduct a detailed study on a generalized KdV
equation (gKdVE) and its non-singular multi-complexiton wave. More precisely, first the multi …

Incompressible fluids are seen in ocean engineering, biomechanics, astrophysics, etc. A (3+
1)-dimensional Boiti-Leon-Manna-Pempinelli equation is hereby investigated. With the help …

This work is concerned with the extraction of auto-Bäcklund transformations of (4+ 1)-
dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation in accordance with the …

The behavior of specific dispersive waves in a new (3+ 1)-dimensional Hirota bilinear (3D-
HB) equation is studied. A Bäcklund transformation and a Hirota bilinear form of the model …

Abstract Recently, Lin et al.(Appl. Math. Lett. 78 (2018) 112–117) established the resonant
multiple-wave solution of a generalized Kadomtsev–Petviashvili (gKP) equation with …

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 …

In this paper, the resonant solitary waves to the (3+ 1)-and (4+ 1)-dimensional Boiti–Leon–
Manna–Pempinelli (BLMP) equations are exposed via the simplified linear superposition …

Aim of this article is to investigate soliton solutions of recently developed 3+ 1-dimensional
Boiti–Leon–Manna–Pempinelli equation by utilizing newly derived approach namely …