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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 ...
Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov�s approach
(Springer Science and Business Media B.V., 2021-06-24)
A combination of Lie symmetry analysis and Kudryashov�s approach secures optical soliton solutions with fiber Bragg gratings. The bifurcation analysis is carried out, and the phase portrait is presented. � 2021, The ...
Cubic-quartic optical solitons with Kudryashov's law of refractive index by Lie symmetry analysis
(Elsevier GmbH, 2021-05-29)
In this work, Kudryashov's equation with third-order dispersion and fourth-order dispersion was studied via Lie symmetry analysis. First, similarity transformation helps us to converted governing equation into a system of ...
Pure-cubic optical soliton perturbation with full nonlinearity by a new generalized approach
(Elsevier GmbH, 2022-03-18)
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 symmetry analysis is performed to find the ...
Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic�Quartic Dispersive Reflectivity by Lie Symmetry
(MDPI, 2023-04-24)
The current paper recovers cubic�quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, ...
Highly Dispersive Optical Solitons in the Absence of Self-Phase Modulation by Lie Symmetry
(MDPI, 2023-04-10)
The paper revisits highly dispersive optical solitons that are addressed by the aid of Lie symmetry followed by the implementation of the Riccati equation approach and the improved modified extended tanh-function approach. ...
Optical solitons for the concatenation model with Kurdryashov�s approaches
(Institute of Physical Optics, 2023-05-04)
This paper implements two of Kudryashov�s approaches to extract optical soliton solutions to the concatenation model that is a conjunction of the nonlinear Schr�dinger�s equation, Lakshmanan�Porsezian�Daniel model, and the ...
Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schr�dinger equation
(Elsevier B.V., 2021-08-29)
In this paper, we looked into the generalized third-order nonlinear Schr�dinger equation (NLSE). This model has a wide range of applications, including ultra-short pulses in optical fibers. Different analytical approaches ...
The (3 + 1)-dimensional Benjamin-Ono equation: Painlev� analysis, rogue waves, breather waves and soliton solutions
(World Scientific, 2022-06-08)
In this paper, we analyzed the (3 + 1)-dimensional Benjamin-Ono (BO) equation. We first demonstrated that the governing model is not integrable in the Painlev� sense. The rogue wave and the breather wave solutions are then ...
Soliton solutions of (2+1) and (3+1)-dimensional KdV and mKdV equations
(American Institute of Physics Inc., 2022-03-19)
In this paper, we investigate the (2+1) and (3+1)-dimensional Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations. Firstly these equations are converted into ordinary differential equations via traveling ...