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 …

Optical fiber communication has developed rapidly because of the needs of the information
age. Here, the variable coefficients fifth-order nonlinear Schrödinger equation (NLS), which …

By employing the one-parameter Lie group of transformations method, abundant exact
invariant solutions are obtained for a (2+ 1)-dimensional dissipative long wave (DLW) …

In this article, the Lie group of transformation method via one-dimensional optimal system is
proposed to obtain some more exact solutions of the (4+ 1)-dimensional Fokas equation. Lie …

Investigated in this paper is an extended (3+ 1)-dimensional Kadomtsev-Petviashvili
equation. We determine the N-soliton solutions of that equation via an existing bilinear form …

This paper investigates the new KP equation with variable coefficients of time't', broadly
used to elucidate shallow water waves that arise in plasma physics, marine engineering …

In this article, we utilize the generalized exponential rational function method and obtain
exact solitary wave solutions in various forms of the strain wave equation. Abundant exact …

In this work, we investigate the dynamical study of the (1+ 1)-dimensional Mikhailov-Novikov-
Wang (MNW) equation via the unified method. This technique is used to obtain the soliton …

In the present article, Lie group of point transformations method is successfully applied to
study the invariance properties of the (2+ 1)(2+ 1)-dimensional Pavlov equation. Applying …

By applying the Lie symmetry method, abundant group-invariant solutions are constructed
for a (3+ 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation, which …