Coupled fluid–solid phase continuum problems associated with large deformation as
geotechnics experts encounter in slope stability problems have been extensively reviewed …

The paper aims to employ a new effective methodology to build exact fractional solutions to
the generalized nonlinear Schrödinger equation with a local fractional operator defined on …

This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …

We analytically study the exact solitary wave solutions of the perturbed nonlinear Biswas–
Milovic equation with Kudryashov's law of refractive index, which describes the propagation …

This research aims to investigate a generalized fifth-order nonlinear partial differential
equation for the Sawada-Kotera (SK), Lax, and Caudrey-Dodd-Gibbon (CDG) equations to …

In this survey, the ionic currents along the microtubules equation handled by applying two
different techniques. It describes the ionic transport throughout the intracellular environment …

Bilinearization of nonlinear partial differential equations (PDEs) is essential in the Hirota
method, which is a widely used and robust mathematical tool for finding soliton solutions of …

This paper investigates a diverse collection of exact solutions to a high-order nonlinear
Schrödinger equation, called the Sasa-Satsuma equation. These results are obtained for …

In this paper, Hirota's bilinear form has been employed to find novel lump waves solutions
for the generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation. This equation is one …

In this paper, modulation instability, bifurcation analysis, and soliton solutions are
investigated in nonlinear media with odd-order dispersion terms. A generalized nonlinear …