Exact solutions of some popular nonlinear ordinary differential equations are analyzed
taking their Laurent series into account. Using the Laurent series for solutions of nonlinear …

The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin
equation by using two efficient methods, called q‐homotopy analysis transform method and …

In this work, a damped modified Kawahara equation (mKE) with cubic nonlinearity and two
dispersion terms including the third-and fifth-order derivatives is analyzed. We employ an …

In this paper, the approximate analytical solutions of Benney–Lin equation with fractional
time derivative are obtained with the help of a general framework of the reduced differential …

In this work, the Kuramoto-Sivashinsky equation and the Kawahara equation are studied.
The tanh method and the extended tanh method are used for analytic treatment for these two …

Studied here is the Kawahara equation, a fifth order Korteweg-de Vries type equation, with
time-delayed internal feedback. Under suitable assumptions on the time delay coefficients …

In this work we use the sine–cosine method, the tanh method, the extended tanh method,
and ansatze of hyperbolic functions for analytic treatment for the modified Kawahara …

In this paper, we consider the Kawahara equation in a bounded interval and with a delay
term in one of the boundary conditions. Using two different approaches, we prove that this …

The main purpose of this work is to obtain the numerical solutions for the Kawahara
equation via the Crank–Nicolson–Differential Quadrature Method based on modified cubic B …

In this paper, we present the variational iteration method and homotopy perturbation method
to solve the modified Kawahara equations. Both methods provide remarkable accuracy for …