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

This paper is devoted to optical solitons for Kudryashov’s law of nonlinear refractive index, which stem from quadrupled-power law and dual form of nonlocal nonlinearity. The conservation law has been also exhibited to paint a complete picture of the model.

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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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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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Highly dispersive optical soliton perturbation with Kudryashov’s sextic–power law nonlinear refractive index by semi–inverse variation

Results in Physics ◽

10.1016/j.rinp.2021.104539 ◽

2021 ◽

pp. 104539

Author(s):

Anjan Biswas ◽

Mehmet Ekici ◽

Anelia Dakova ◽

Salam Khan ◽

Seithuti P. Moshokoa ◽

...

Keyword(s):

Refractive Index ◽

Power Law ◽

Nonlinear Refractive Index ◽

Optical Soliton ◽

Soliton Perturbation

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Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.109765 ◽

2020 ◽

Vol 135 ◽

pp. 109765 ◽

Cited By ~ 3

Author(s):

Russell W. Kohl ◽

Anjan Biswas ◽

Qin Zhou ◽

Mehmet Ekici ◽

Abdullah Kamis Alzahrani ◽

...

Keyword(s):

Refractive Index ◽

Variational Principle ◽

Power Laws ◽

Optical Soliton ◽

Soliton Perturbation

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Cubic–Quartic Solitons in Couplers with Optical Metamaterials Having Power Law of Refractive Index

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863520500095 ◽

2021 ◽

pp. 2050009

Author(s):

Elsayed M. E. Zayed ◽

Mohamed E. M. Alngar ◽

Reham M. A. Shohib ◽

Anjan Biswas ◽

Mehmet Ekici ◽

...

Keyword(s):

Refractive Index ◽

Power Law ◽

Nonlinear Refractive Index ◽

Soliton Solutions ◽

Optical Soliton ◽

Optical Metamaterials

This paper studies couplers in optical metamaterials that come with power law of nonlinear refractive index. The Kudryashov’s approach reveals bright, singular as well as bright-singular straddled optical soliton solutions. Both twin-core couplers and multiple-core couplers are studied.

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