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Optical solitons and other solutions with anti-cubic nonlinearity by Lie symmetry analysis and additional integration architectures
(Elsevier, 2019)
In this work, symmetry reduction for nonlinear Schrödinger's equation with anti-cubic nonlinearity is determined by using the invariance of equations under Lie group of transformations. Using the similarity transformations ...
Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry
(Elsevier GmbH, 2020)
Lie symmetry analysis handled the nonlinear Schrodinger's equation that is studied with generalized anti-cubic nonlinear form. These yielded bright, dark and singular optical soliton solutions as well as a bright-singular ...
Optical solitons and other invariant solutions with fiber Bragg gratings and dispersive reflectivity having parabolic�nonlinear combo nonlinearity
(Elsevier GmbH, 2022-08-17)
The current paper addresses the bifurcation analysis and sketches the phase portraits of the dynamical system that emerged from fiber Bragg gratings structure due to parabolic�nonlocal combo nonlinearity. The Lie symmetry ...
Highly dispersive W�shaped and other optical solitons with quadratic�cubic nonlinearity: Symmetry analysis and new Kudryashov's method
(Elsevier Ltd, 2023-06-24)
Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic�cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of ...
Cubic�Quartic Optical Soliton Perturbation with Differential Group Delay for the Lakshmanan�Porsezian�Daniel Model by Lie Symmetry
(MDPI, 2022-01-26)
This paper employs Lie symmetry analysis to recover cubic�quartic optical soliton solutions to the Lakshmanan�Porsezian�Daniel model in birefringent fibers. The results are a sequel to the previously reported work on the ...
Cubic�quartic optical solitons in fiber Bragg gratings with Kerr law of nonlinearity and dispersive reflectivity by Lie symmetry
(Elsevier GmbH, 2022-09-12)
The present study derives cubic�quartic optical solitons in fiber Bragg gratings having Kerr law of nonlinearity along with dispersive reflectivity. The Lie symmetry analysis collapses the coupled partial differential ...
Explicit Exact Solutions and�Conservation Laws of�Modified ? Equation
(Springer Science and Business Media Deutschland GmbH, 2022-10-13)
The invariant solutions of generalised modified ? equation are obtained by using the Lie classical symmetry method. The obtained solutions are in terms of trigonometric functions and hyperbolic functions. This equation can ...
Straddled optical solitons for cubic�quartic Lakshmanan�Porsezian�Daniel model by Lie symmetry
(Elsevier B.V., 2021-09-22)
This study obtains straddled singular�bright optical solitons to cubic�quartic Lakshmanan�Porsezian�Daniel equation by Lie symmetry analysis. The reduced ordinary differential equations are handled using Kudryashov's method. ...
Invariant soliton solutions for the coupled nonlinear Schr�dinger type equation
(Elsevier B.V., 2022-12-08)
The Schr�dinger equation is an essential model in quantum mechanics. It simulates fascinating nonlinear physical phenomena, such as shallow-water waves, hydrodynamics, harmonic oscillator, nonlinear optics, and quantum ...