This paper explores the double-chain model of DNA known as deoxyribonucleic acid, which
has a significant role in the preservation and conversion of genetic data in biological fields …

This study focuses on the extended (3+ 1)-dimensional Sakovich equation, which is utilized
for the description of nonlinear wave motion and manifests increased dispersion and …

This study delves into the analytical exploration of two pivotal equations, the confirmable
Westervelt equation, relevant in acoustic nonlinear phenomena for applications like medical …

This study extensively explores the Biswas–Milovic equation (BME) with Kerr and power law
nonlinearity to extract the unique characteristics of optical soliton solutions. These optical …

The time-fractional coupled Drinfel'd–Sokolov–Wilson (DSW) equation is pivotal in soliton
theory, especially for water wave mechanics. Its precise description of soliton phenomena in …

This study, highlights the exact optical soliton solutions in the context of optical physics,
centering on the intricate Hamiltonian amplitude equation with bifurcation and sensitivity …

The current manuscript proposes an innovative approach for obtaining exact solutions to the
conformable time-fractional nonlinear differential-difference equations (NDDEs). The …

This research paper focuses on the study of the (3+ 1)-dimensional negative order KdV-
Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation, an important nonlinear partial …

Solitary waves, inherent in nonlinear wave equations, manifest across various physical
systems like water waves, optical fibers, and plasma waves. In this study, we present this …

This study primarily aims to investigate the application of the Lie symmetry method and
conservation law theories in the analysis of mixed fractional partial differential equations …