In this paper, we implement the Hirota's bilinear method to extract diverse wave profiles to
the generalized perturbed-KdV equation when the test function approaches are taken into …

This article investigates a nonlinear fifth-order partial differential equation (PDE) in two-
mode waves. The equation generalizes two-mode Sawada-Kotera (tmSK), two-mode Lax …

We solve distinct forms of (3+ 1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+ 1)-
Dimensional WBBM] equations by employing the method of Sardar-subequation. When …

New dual-wave soliton solutions are addressed for the two-mode Sawada-Kotera (TmSK)
equation arising in fluids by the modified Kudryashov and new auxiliary equation methods …

Higher-order temporal-dispersion partial differential equations have its capability to visualize
the evolution of steeper-waves for shorter wave-length better than the higher-order KdV …

Variable coefficients nonlinear evolution equations offer us with more real aspects in the
inhomogeneities of media and nonuniformities of boundaries than their counter constant …

In this work, we present a new two-mode version to the complex Hirota equation. This new
model arises in many applications in the field of optics, communications and other …

A new two-mode version of the generalized Zakharov-Kuznetsov equation is derived using
Korsunsky's method. This dynamical model describes the propagation of two-wave solitons …

In this paper we communicated with three different ansatze methods including the tanh-
expansion method, the rational sine–cosine method and the Kudryashov-expansion method …

In this paper, the evolutionary Cahn–Allen equation is upgraded into the generalized two-
mode version via Korsunsky's sense. The new established model is characterized in terms …