Abstract The Kundu–Mukherjee–Naskar equation (KMN) can model the data transmission in
birefringent fibers through molecules or pulses in a few Femto-seconds. A fractional …

The Duffing oscillator represents an important example to describe, mathematically, the
nonlinear behavior of several phenomena in physics and engineering. In view of its diverse …

In this article, the main objective is to employ the homotopy perturbation method (HPM) as
an alternative to classical perturbation methods for solving nonlinear equations having …

In this contribution, a simple analytical method (which is an elegant combination of well
known methods; perturbation and Laplace methods) for solving non-linear and non …

In this work, the forced Duffing equation with secondary resonance will be considered our
subject by assuming that the initial values has uncertainty in terms of a fuzzy number. The …

This article presents an approximate numerical solution for nonlinear Duffing Oscillators by
pseudospectral (PS) method to compare boundary conditions on the interval [-1, 1]. In the …

STSDM is considered to be an efficient method to solve a large number of problems in
Engineering and Sciences. It gives divergent series solution which is similar to DTM. In order …

Abstract This paper considers (1+ 1) dimensional conservative oscillatory systems with
polynomial nonlinearities in the double limit of high amplitude (x max→∞) and high leading …

The paper begins with a novel variational formulation of Duffing equation using the
extended framework of Hamilton's principle (EHP). Unlike the original Hamilton's principle …

A short number of steep breaking waves hitting a ship from the side may affect its dynamic
behaviour and to determine extreme roll angles and, eventually, capsizing. This last …