We study a class of Lakshmanan–Porsezian–Daniel equations endowed with a cubic–
quartic nonlinearity. A highly efficient improved Adomian decomposition approach is …

In this paper, we explore the DNA dynamic equation arising in the oscillator-chain named as
Peyrard–Bishop model for abundant solitary wave solutions. The aforesaid model is studied …

In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony
equations recently introduced are analyzed with the introduction of the spatial and temporal …

This paper introduces novel findings in the investigation of new two-mode version of the
combined Schamel and KdV equations. The proposed model demonstrates the dynamics of …

The current research manifests kink wave answers, mixed singular optical solitons, the
mixed dark-bright lump answer, the mixed dark-bright periodic wave answer, and periodic …

Classical Burgers' equation is an indispensable dynamical evolution equation that is
autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This …

Due to the lack of abundant literature with regard to the exact analytical solutions for the new
higher-order Boussinesq-Burgers equations (HOBBE); of course, with the exception of a few …

In this article, we introduce a numerical technique for solving a class of multi-term variable-
order fractional differential equation. The method depends on establishing a shifted Jacobi …

In this research work, we established exact solution for the conformable space–time
fractional (3+ 1) dimensional modified Korteweg de Vries equations (mKdV). A Sine-Cosine …

The current study deals with exact soliton solutions for Schrödinger-Hirota (SH) equation via
two modified integration methods. Those methods are known as the improved (G′/G) …