Cubic–quartic optical soliton perturbation and conservation laws with Lakshmanan–Porsezian–Daniel model: Undetermined coefficients

2021 ◽  
pp. 2150007
Author(s):  
Jose Vega-Guzman ◽  
Anjan Biswas ◽  
Abdul Hamid Kara ◽  
M. F. Mahmood ◽  
Mehmet Ekici ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Soliton Solutions ◽  
Optical Soliton ◽  
Soliton Perturbation ◽  
Existence Criteria

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.

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

2018 ◽  
Vol 114 ◽  
pp. 275-280 ◽  
Author(s):  
Anupma Bansal ◽  
A.H. Kara ◽  
Anjan Biswas ◽  
Seithuti P. Moshokoa ◽  
Milivoj Belic
Keyword(s):  
Conservation Laws ◽  
Optical Soliton ◽  
Soliton Perturbation

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

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.

Highly dispersive optical soliton perturbation with cubic–quintic–septic law via two methods

2021 ◽  
pp. 2150276
Author(s):  
Khalid K. Ali ◽  
Hadi Rezazadeh ◽  
Nauman Raza ◽  
Mustafa Inc
Keyword(s):  
Solitary Wave ◽  
Soliton Solutions ◽  
Algebraic Method ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Mixed Complex ◽  
Solitary Wave Solutions ◽  
Computational System ◽  
Soliton Perturbation ◽  
Wave Solutions

The main consideration of this paper is to discuss cubic optical solitons in a polarization-preserving fiber modeled by nonlinear Schrödinger equation (NLSE). We extract the solutions in the forms of hyperbolic, trigonometric including a class of solitary wave solutions like dark, bright–dark, singular, singular periodic, multiple-optical soliton and mixed complex soliton solutions. A recently developed integration tool known as new extended direct algebraic method (NEDAM) is applied to analyze the governing model. Moreover, the studied equation is discussed with two types of nonlinearity. The constraint conditions are explicitly presented for the resulting solutions. The accomplished results show that the applied computational system is direct, productive, reliable and can be carried out in more complicated phenomena.

Cubic–quartic optical soliton perturbation and conservation laws with Kudryashov's law of refractive index

2020 ◽  
Vol 384 (34) ◽  
pp. 126884 ◽  
Author(s):  
Yakup Yıldırım ◽  
Anjan Biswas ◽  
Abdul H. Kara ◽  
Mehmet Ekici ◽  
Elsayed M.E. Zayed ◽  
...  
Keyword(s):  
Refractive Index ◽  
Conservation Laws ◽  
Optical Soliton ◽  
Soliton Perturbation

Dynamics of optical solitons and conservation laws of a new (2+1)-dimensional integrable nonlinear evolution equation in deep water oceanic waves

2020 ◽  
Vol 34 (05) ◽  
pp. 2050068
Author(s):  
Sudhir Singh ◽  
R. Sakthivel ◽  
M. Inc ◽  
A. Yusuf ◽  
K. Murugesan
Keyword(s):  
Conservation Laws ◽  
Soliton Solutions ◽  
Rogue Waves ◽  
Optical Soliton ◽  
Magnetized Plasma ◽  
Ion Acoustic Wave ◽  
Complex Envelope ◽  
New Class ◽  
Higher Dimensional ◽  
Ansatz Approach

An integrable extension of the famous Schrödinger equation in (2[Formula: see text]+[Formula: see text]1) dimension, named Kundu–Mukherjee–Naskar (KMN) equation, governing the evolution of ion-acoustic wave in magnetized plasma and oceanic rogue waves is considered, and dark/black as well as gray optical soliton solutions are constructed by using a complex envelope ansatz approach with appropriate conditions for the existence of solitons. Also, a new class of combined gray and black optical soliton solutions is obtained by applying Chupin Liu’s theorem, and it is found to be anti-dark solitons. Additionally, Gaussian wave solutions are derived. Further, the investigation of symmetry analysis, nonlinear self-adjointness and conservation laws (Cls) for the KMN equation are carried out. These results further enrich and deepen the understanding of the dynamics of a higher-dimensional soliton propagation.

Cubic–quartic optical soliton perturbation and conservation laws with generalized Kudryashov’s form of refractive index

2021 ◽  
Author(s):  
Yakup Yıldırım ◽  
Anjan Biswas ◽  
Abdul H. Kara ◽  
Mehmet Ekici ◽  
Abdullah K. Alzahrani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Conservation Laws ◽  
Optical Soliton ◽  
Soliton Perturbation

Dispersive optical solitons with Schrödinger–Hirota equation

2014 ◽  
Vol 23 (01) ◽  
pp. 1450014 ◽  
Author(s):  
A. H. Bhrawy ◽  
A. A. Alshaery ◽  
E. M. Hilal ◽  
Wayne N. Manrakhan ◽  
Michelle Savescu ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Hirota Equation ◽  
Bright Solitons ◽  
Soliton Perturbation ◽  
Full Nonlinearity

The dynamics of dispersive optical solitons, modeled by Schrödinger–Hirota equation, are studied in this paper. Bright, dark and singular optical soliton solutions to this model are obtained in presence of perturbation terms that are considered with full nonlinearity. Soliton perturbation theory is also applied to retrieve adiabatic parameter dynamics of bright solitons. Optical soliton cooling is also studied. Finally, exact bright, dark and singular solitons are addressed for birefringent fibers with perturbation terms included.

scholarly journals The complex Ginzburg Landau equation in kerr and parabolic law media

2020 ◽  
Vol 10 (1) ◽  
pp. 113-117
Author(s):  
Esma Ates
Keyword(s):  
Landau Equation ◽  
Soliton Solutions ◽  
Optical Soliton ◽  
Jacobi Elliptic Function ◽  
Paper Study ◽  
Ansatz Method ◽  
Ginzburg Landau ◽  
Parabolic Law ◽  
Ginzburg Landau Equation ◽  
Existence Criteria

This paper study the complex Ginzburg-Landau equation with two different forms of nonlinearity. The Jacobi elliptic ansatz method is used to obtain the optical soliton solutions of this equation in the kerr and parabolic law media. Bright and dark optical soliton solutions are acquired as well as Jacobi elliptic function solutions. The existence criteria of these solutions are also indicated.

scholarly journals Optical Soliton Solutions to Gerdjikov-Ivanov Equation Without Four-Wave Mixing Terms in Birefringent Fibers by Extended Trial Function Scheme

2021 ◽  
Vol 36 (1) ◽  
pp. 67-72
Author(s):  
Emad E. M. Mikael ◽  
Abdulmalik Altwaty ◽  
Bader Masry
Keyword(s):  
Trial Function ◽  
Soliton Solutions ◽  
Coupled System ◽  
Four Wave Mixing ◽  
Optical Soliton ◽  
Wave Mixing ◽  
Limiting Case ◽  
Existence Criteria ◽  
Singular Soliton ◽  
Extended Trial

Without four-wave mixing terms in birefringent fibers, the extended trial function scheme was used to obtain optical soliton solutions for the coupled system corresponding to the Gerdjikov-Ivanov equation. The procedure reveals singular soliton solutions, bright soliton solutions, and highly important solutions in terms of Jacobi’s elliptic function. And in the limiting case of the modulus of ellipticity, singular and singular-periodic soliton solutions, along with their respective existence criteria.

Sign in / Sign up

Export Citation Format

Share Document