Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas–Lenells equation

This work recovers cubic–quartic soliton solutions to the Lakshmanan–Porsezian–Daniel model by the method of undetermined coefficients. Both polarization-preserving fibers and birefringent fibers are studied. The conservation laws for polarization-preserving fibers are also retrieved and enumerated. The existence criteria for the displayed solitons are also presented.

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Optical soliton perturbation and conservation law with Kudryashov’s refractive index having quadrupled power–law and dual form of generalized nonlocal nonlinearity

Optik ◽

10.1016/j.ijleo.2021.166966 ◽

2021 ◽

pp. 166966

Author(s):

Yakup Yıldırım ◽

Anjan Biswas ◽

Abdul H. Kara ◽

Padmaja Guggilla ◽

Salam Khan ◽

...

Keyword(s):

Refractive Index ◽

Power Law ◽

Conservation Law ◽

Optical Soliton ◽

Nonlocal Nonlinearity ◽

Dual Form ◽

Soliton Perturbation

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Optical soliton perturbation with Gerdjikov–Ivanov equation by modified simple equation method

Optik ◽

10.1016/j.ijleo.2017.12.101 ◽

2018 ◽

Vol 157 ◽

pp. 1235-1240 ◽

Cited By ~ 34

Author(s):

Anjan Biswas ◽

Yakup Yildirim ◽

Emrullah Yasar ◽

Houria Triki ◽

Ali Saleh Alshomrani ◽

...

Keyword(s):

Optical Soliton ◽

Simple Equation ◽

Equation Method ◽

Soliton Perturbation ◽

Modified Simple Equation Method

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Cubic–quartic optical soliton perturbation with Kudryashov’s law of refractive index having quadrupled–power law and dual form of generalized nonlocal nonlinearity by sine-Gordon equation approach

Journal of Optics ◽

10.1007/s12596-021-00686-y ◽

2021 ◽

Cited By ~ 1

Author(s):

Yakup Yıldırım ◽

Anjan Biswas ◽

Houria Triki ◽

Mehmet Ekici ◽

Padmaja Guggilla ◽

...

Keyword(s):

Refractive Index ◽

Power Law ◽

Gordon Equation ◽

Optical Soliton ◽

Equation Approach ◽

Sine Gordon Equation ◽

Nonlocal Nonlinearity ◽

Dual Form ◽

Soliton Perturbation

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Optical soliton perturbation with spatio-temporal dispersion having Kerr law nonlinearity by the variational iteration method

Revista Mexicana de Física ◽

10.31349/revmexfis.66.404 ◽

2020 ◽

Vol 66 (4 Jul-Aug) ◽

pp. 404

Author(s):

O. González Gaxiola ◽

A. Biswas ◽

A. Kamis Alzahrani ◽

M. R. Belic

Keyword(s):

Iteration Method ◽

Variational Iteration Method ◽

Optical Soliton ◽

Modal Dispersion ◽

Soliton Perturbation ◽

Variational Iteration ◽

Kerr Law ◽

Kerr Law Nonlinearity ◽

Spatio Temporal ◽

Temporal Dispersion

This paper studies optical soliton perturbation that appears with Kerr law nonlinearity having spatio-temporal dispersion. The numerical scheme adopted is the variational iteration method. The perturbation terms are of Hamiltonian type and stem from inter-modal dispersion, self-steepening and nonlinear dispersion. Both bright and dark solitons are taken into consideration.

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Optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation by traveling wave hypothesis

Optik ◽

10.1016/j.ijleo.2018.06.043 ◽

2018 ◽

Vol 171 ◽

pp. 217-220 ◽

Cited By ~ 53

Author(s):

Anjan Biswas

Keyword(s):

Traveling Wave ◽

Optical Soliton ◽

Soliton Perturbation

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Highly dispersive optical soliton perturbation of Kudryashov’s arbitrary form having sextic-power law refractive index

International Journal of Modern Physics B ◽

10.1142/s0217979221502477 ◽

2021 ◽

Vol 35 (24) ◽

Author(s):

Ahmed M. Elsherbeny ◽

Reda El-Barkouky ◽

Aly R. Seadawy ◽

Hamdy M. Ahmed ◽

Rabab M. I. El-Hassani ◽

...

Keyword(s):

Refractive Index ◽

Power Law ◽

Soliton Solutions ◽

Research Paper ◽

Optical Soliton ◽

Integration Scheme ◽

Arbitrary Form ◽

Soliton Perturbation ◽

Singular Soliton ◽

Simple Integration

In this research paper, a simple integration scheme is executed to secure new dark and singular soliton solutions for the highly dispersive nonlinear Schrödinger’s equation having Kudryashov’s arbitrary form with generalized nonlocal laws and sextic-power law refractive index.

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