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 …

In this present article, we devote our study on (2+ 1)-dimensional Nizhnik-Novikov-Vesselov
(NNV) equations. To achieve our goal, we utilize various mathematical methods, namely Lie …

The present article formally studies the propagation of optical pulses in a nonlinear medium
governed by the nonlinear Kodama equation. For this purpose, the Lie symmetries group is …

In this paper, we mainly study the Gardner equation that models the propagation of dust ion
acoustic waves. By using the Exp-function method, abundant traveling wave solutions like …

This article introduces and applies new methods to determine the exact solutions of partial
differential equations that will increase our understanding of the capabilities of applied …

This work introduces a new generalized integration scheme to construct the pure-cubic
optical solitons in a polarization-preserving fiber with Kerr law nonlinearity. First, Lie …

In the fields of oceanography, hydrodynamics, and marine engineering, many
mathematicians and physicists are interested in Burgers-type equations to show the different …

This article examines the soliton-type solutions, their interactions, and the integrable
properties of a non-autonomous perturbed Gardner KP (NPGKP) equation. For the NPGKP …

In this paper, we consider an extended form of generalized (2+ 1)-dimensional Hirota
bilinear equation which demonstrates nonlinear wave phenomena in shallow water …

The present research is devoted to carry out Lie group classification and optimal system of
one-dimensional subalgebras of KP–BBM equation. The equation describes bidirectional …