In this work, the non-integrable nonplanar (cylindrical and spherical) damped Kawahara
equation (ndKE) is solved and analyzed analytically. The ansatz method is implemented for …

In this paper, some novel analytical approximations to a completely non-integrable
nonplanar (cylindrical and spherical) Kawahara equation (nKE) are derived. Using the …

We perform a detailed study on the completely non-integrable forced damped
Gardner/Extended Kawahara equation (FDEKE). Three techniques are introduced to …

This article applies the homotopy perturbation transform technique to analyze fractional-
order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations …

The time-fractional generalized Burger–Fisher equation (TF-GBFE) has various applications
across various scientific and engineering disciplines. It is used for investigating various …

This work develops two higher-dimensional extensions for both Korteweg–de Vries (KdV)
and modified KdV (mKdV) equations. We investigate the Painlevé integrability of each …

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 investigation, the nonplanar (spherical and cylindrical) modified fifth-order Korteweg–
de Vries (nmKdV5) equation, otherwise known as the nonplanar modified Kawahara …

This article discusses two simple, complication-free, and effective methods for solving
fractional-order linear and nonlinear partial differential equations analytically: the Aboodh …

In this investigation, a set of novel exact and approximate analytic solutions to the family of
the forced damped Kawahara equation (KE) are derived in detail. This work is divided into …