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Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
(Elsevier GmbH, 2019)
In this work, we studied time fractional Biswas–Milovic equation (FBME) which describes the long distance optical communication with Kerr law nonlinearity. We analyzed group analysis of equation by using Lie symmetry ...
The integrable Boussinesq equation and it�s breather, lump and soliton solutions
(Springer Science and Business Media B.V., 2022-01-17)
The fourth-order nonlinear Boussinesq water wave equation, which explains the propagation of long waves in shallow water, is explored in this article. We used the Lie symmetry approach to analyze the Lie symmetries and ...
A (2+1)-dimensional combined KdV�mKdV equation: integrability, stability analysis and soliton solutions
(Springer Science and Business Media B.V., 2022-01-10)
In this study, the (2+1)-dimensional combined Korteweg�de Vries and modified Korteweg�de Vries equation has been considered for the first time. Firstly, we check the integrability of the governing equation. Then, we generate ...
A generalized (2+1)-dimensional Hirota bilinear equation: integrability, solitons and invariant solutions
(Springer Science and Business Media B.V., 2022-11-11)
In this paper, we consider an extended form of generalized (2 + 1) -dimensional Hirota bilinear equation which demonstrates nonlinear wave phenomena in shallow water, oceanography and nonlinear optics. We have successfully ...
Some exact solitons to the (2 + 1)-dimensional Broer�Kaup�Kupershmidt system with two different methods
(Springer, 2023-10-21)
The exact solutions of the (2 + 1) dimensional Broer�Kaup�Kupershmidt (BKK) system which has been recommended to model the nonlinear and dispersive long gravity waves traveling along with the two horizontal directions in ...
A (2+1)-dimensional Kadomtsev�Petviashvili equation with competing dispersion effect: Painlev� analysis, dynamical behavior and invariant solutions
(Elsevier B.V., 2021-03-09)
In this paper, we concern ourselves with the nonlinear Kadomtsev�Petviashvili equation (KP) with a competing dispersion effect. First we examine the integrability of governing equation via using the Painlev� analysis. We ...