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.

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.

scholarly journals New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction

2021 ◽  
Vol 9 ◽  
Author(s):  
Nauman Raza ◽  
Saima Arshed ◽  
Asma Rashid Butt ◽  
Dumitru Baleanu
Keyword(s):  
Soliton Solutions ◽  
Expansion Method ◽  
Dark Soliton ◽  
Art Integration ◽  
Scalar Mesons ◽  
Integration Schemes ◽  
Klein Gordon ◽  
Physical Features ◽  
Existence Criteria ◽  
Singular Soliton

This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled through the Yukawa interaction. Three state of the art integration schemes, namely, the e−Φ(ξ)-expansion method, Kudryashov's method, and the tanh-coth expansion method are employed to extract bright soliton, dark soliton, periodic soliton, combo soliton, kink soliton, and singular soliton solutions. All the constructed solutions satisfy their existence criteria. It is shown that these methods are concise, straightforward, promising, and reliable mathematical tools to untangle the physical features of mathematical physics equations.

scholarly journals Some analytical solutions by mapping methods for non-linear conformable time-fractional PHI-4 equation

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 1815-1822 ◽  
Author(s):  
Zeliha Korpinar
Keyword(s):  
Fractional Derivative ◽  
Periodic Solutions ◽  
Soliton Solution ◽  
Analytical Solutions ◽  
Soliton Solutions ◽  
Elliptic Functions ◽  
Dark Soliton ◽  
Optical Soliton ◽  
Conformable Fractional Derivative ◽  
Singular Soliton

In this paper, the practice of two types of mapping methods are used to solve the time fractional Phi-4 equation by means of conformable fractional derivative. The solutions are derived using Jacobi?s elliptic functions for two different value of the modulus and are obtained the some soliton solutions. The found solutions are iden?tified bright optical soliton, dark soliton, singular soliton, combo soliton solution, and periodic solutions.

Degenerate four-wave mixing measurements on an exciton-photon coupled system in a semiconductor microcavity

1998 ◽  
Vol 58 (12) ◽  
pp. 7978-7985 ◽  
Author(s):  
Masayuki Shirane ◽  
C. Ramkumar ◽  
Yu. P. Svirko ◽  
Hidekatsu Suzuura ◽  
Shin Inouye ◽  
...  
Keyword(s):  
Coupled System ◽  
Four Wave Mixing ◽  
Wave Mixing ◽  
Semiconductor Microcavity ◽  
Degenerate Four Wave Mixing

scholarly journals Extraction of optical solitons in birefringent fibers for Biswas-Arshed equation via extended trial equation method

2021 ◽  
Vol 10 (1) ◽  
pp. 146-158
Author(s):  
Muhammad Tahir ◽  
Aziz Ullah Awan ◽  
Kashif Ali Abro
Keyword(s):  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Optical Solitons ◽  
Singular Solutions ◽  
Jacobi Elliptic Function ◽  
Wave Mixing ◽  
Integration Technique ◽  
Rational Solutions ◽  
Extended Trial Equation Method ◽  
Extended Trial

Abstract This article obtains optical solitons to the Biswas-Arshed equation for birefringent fibers with higher order dispersions and in the absence of four-wave mixing terms, in a media with Kerr type nonlinearity. Optical dark, singular and bright soliton solutions are articulated by applying an imaginative integration technique, the extended trial equation scheme. Various additional traveling wave solutions are produced with this integration technique, which include rational solutions, Jacobi elliptic function solutions and periodic singular solutions. From the mathematical analysis some constraints are recognized that ensure the actuality of solitons.

New optical soliton solutions of the Chen–Lee–Liu equation

2021 ◽  
pp. 2150184
Author(s):  
Hamood Ur Rehman ◽  
Musarat Bibi ◽  
Muhammad Shoaib Saleem ◽  
Hadi Rezazadeh ◽  
Waleed adel
Keyword(s):  
Optical Fibers ◽  
Soliton Solutions ◽  
Type Equation ◽  
Algebraic Method ◽  
Optical Soliton ◽  
Wave Transformation ◽  
Effective Technique ◽  
Ordinary Type ◽  
Novel Method ◽  
Singular Soliton

In this work, we demonstrate the extraction of some optical soliton solutions of the Chen–Lee–Liu equation (CLLE) with applications in optical fibers. A novel method is presented which is called the new extended direct algebraic method (EDAM). This method is based on converting the nonlinear CLLE equation into an ordinary type equation through a wave transformation. We acquire new solutions like dark, bright, combined dark-bright, combined bright-singular and periodic singular soliton solutions by using this effective technique. These acquired soliton solutions are new with some new physical properties. Some graphical representations for these solutions are provided which prove that the new method is effective and can be extended to some similar problems.

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