The key purpose of the present work is to constitute a numerical algorithm based on
fractional homotopy analysis transform method to study the fractional model of Lienard's …

Symmetry methods are always very useful for discussing the classes of differential equation
solutions. This article focuses on traveling wave structures of the generalized Pochhammer …

In this article, we present the Jacobi spectral colocation method to solve the fractional model
of Liénard and Duffing equations with the Liouville–Caputo fractional derivative. These …

In this article, a new analytical method has been devised to solve higher‐order initial value
problems for ordinary differential equations. This method was implemented to construct a …

This study investigates the nonlinear Pochhammer–Chree equation, a model crucial for
understanding wave propagation in elastic rods, through the application of the Khater III …

This paper reports the first analytical demonstration of propagation of algebraic solitary
waves accompanied with a nonlinear chirp in optical fibers governed by the Kundu …

In this study, the design of a computational heuristic based on the nonlinear Liénard model
is presented using the efficiency of artificial neural networks (ANNs) along with the …

With the aid of symbolic computation, the new ϕ^6 ϕ 6-model expansion method is applied,
in this article, for the first time to the resonant nonlinear Schrödinger equation with parabolic …

The fractional model of Liénard's equations is very useful in the study of oscillating circuits.
The main aim of this article is to investigate a fractional extension of Liénard's equation by …

We demonstrate new types of chirped self-similar waves for a generalized derivative
nonlinear Schrödinger equation with varying dispersion, self–steepening effect, cubic …