Article
Materials Science, Multidisciplinary
A. A. Altwaty, Saleh M. Hassan, Bader R. K. Masry
Summary: This paper presents dark optical solutions for generalized anti-cubic nonlinearity in fiber Bragg gratings, including fractional temporal evolution. The soliton solution appears with restriction conditions, using modified Riemann-Liouvill derivative and fractional Riccati method.
RESULTS IN PHYSICS
(2021)
Article
Optics
Elsayed M. E. Zayed, Mohamed E. M. Alngar, Reham M. A. Shohib, Anjan Biswas, Yakup Yildirim, Hashim M. Alshehri, Milivoj R. Belic
Summary: This paper discusses the recovery of cubic-quartic solitons in fiber Bragg gratings with dispersive reflectivity having anti-cubic nonlinear form. Two integration approaches are used to find the solitons and display their existence criteria.
Article
Optics
Ahmed H. Arnous
Summary: This study introduces a new simple integration technique to extract optical solitons for cubic quartic Bragg-gratings with anti-cubic nonlinear form, including bright, dark, and singular soliton solutions, as well as bright-dark hybrid soliton solutions. The results demonstrate that the method is simple and effective for seeking exact solutions and extracting optical solitons, with appropriate constraints to guarantee their existence.
Article
Optics
Ahmed M. Elsherbeny, Reda El-Barkouky, Hamdy M. Ahmed, Rabab M. I. El-Hassani, Ahmed H. Arnous, Anjan Biswas, Yakup Yildirim, Hashim M. Alshehri
Summary: This paper achieves cubic-quartic solitons in fiber Bragg gratings with anti-cubic nonlinearity and determines the parameter constraints for their existence. The use of Jacobi's elliptic functions as solution leads to the emergence of optical solitons. These results are significant for further study of self-phase modulation and dispersive effects, among others.
Article
Physics, Multidisciplinary
Ahmed H. Arnous, Qin Zhou, Anjan Biswas, Padmaja Guggilla, Salam Khan, Yakup Yildirim, Ali S. Alshomrani, Hashim M. Alshehri
Summary: This paper utilizes an enhanced version of Kudryashov's scheme to investigate optical soliton solutions in fiber Bragg gratings with five different nonlinear forms. The analysis incorporates the effect of cubic-quartic dispersive reflectivity, resulting in a full spectrum of solitons for various cases.
Article
Optics
Hashim M. Alshehri, Dalal A. Maturi, Dalal H. Al-Bogami, Sachin Kumar, Yakup Yildirim, Anjan Biswas
Summary: The present study investigates cubic-quartic optical solitons in fiber Bragg gratings with Kerr nonlinearity and dispersive reflectivity. The Lie symmetry analysis is used to simplify the coupled partial differential equations to a set of ordinary differential equations. The solutions obtained through numerical simulations confirm the analytical findings.
Article
Physics, Mathematical
Dan Chen, Zhao Li
Summary: This paper investigates the vector-coupled version of the generalized anticubic nonlinearity model in fiber Bragg gratings. By utilizing the trial equation approach and the complete discriminant system for polynomial, nine families of optical solitons solutions and single traveling wave solutions for the fiber Bragg gratings with generalized anticubic nonlinearity are obtained. Various graphical representations are presented to illustrate the accurate physical behaviors of the solutions.
ADVANCES IN MATHEMATICAL PHYSICS
(2023)
Article
Mathematics
Elsayed M. E. Zayed, Mohamed E. M. Alngar, Reham M. A. Shohib, Anjan Biswas, Yakup Yildirim, Salam Khan, Luminita Moraru, Simona Moldovanu, Catalina Iticescu
Summary: This paper achieves highly dispersive optical solitons in fiber Bragg gratings using the Kerr law of a nonlinear refractive index. The retrieval is made possible through the generalized Kudryashov's approach and its newer version, resulting in a full spectrum of solitons being recovered.
Article
Multidisciplinary Sciences
Sandeep Malik, Sachin Kumar, Anjan Biswas, Yakup Yildirim, Luminita Moraru, Simona Moldovanu, Catalina Iticescu, Hashim M. Alshehri
Summary: This study recovers a variety of cubic-quartic optical solitons with dispersive reflectivity using Lie symmetry analysis and two integration methods. These solitons can control the depletion of chromatic dispersion and facilitate uninterrupted transmission over intercontinental distances.
Article
Optics
Annamalai Muniyappan, Shanmugham Amirthani, Palanivel Chandrika, Anjan Biswas, Yakup Yildirim, Hashim M. Alshehri, Dalal A. A. Maturi, Dalal H. Al-Bogami
Summary: This research investigates the anti-cubic and generalized anti-cubic nonlinearity in optical fibers. Dark soliton structures are obtained through the Jacobi elliptic function method and Jacobi elliptic function expansion method. Furthermore, the physical significance and dynamical behaviors of the dark soliton solutions are established using the dispersion coefficient as a physical parameter.
Article
Optics
Annamalai Muniyappan, Devanathan Hemamalini, Ethirasan Akila, Vajravel Elakkiya, Subramaniyan Anitha, Sakthivel Devadharshini, Anjan Biswas, Yakup Yddirim, Hashim M. Alshehri
Summary: In this work, bright optical solitons with anti-cubic and generalized anti-cubic forms of refractive index are obtained using the Jacobi's elliptic function expansion scheme. The parameter constraints for the existence of these solitons are also presented.
Article
Computer Science, Information Systems
Elsayed M. E. Zayed, Mohamed E. M. Alngar, Reham M. A. Shohib, Anjan Biswas, Yakup Yildirim, Luminita Moraru, Simona Moldovanu, Catalina Iticescu
Summary: This paper investigates highly dispersive solitons in fiber Bragg gratings with a quadratic-cubic law of nonlinear refractive index. The retrieval is made possible through the (G'/G)-expansion approach and the enhanced Kudryashov's scheme. A large number of solitons, emerging from the two integration schemes, are presented.
Article
Computer Science, Information Systems
Ahmed H. Arnous, Anjan Biswas, Yakup Yildirim, Luminita Moraru, Simona Moldovanu, Seithuti P. Moshokoa
Summary: The study focuses on the application of the enhanced Kudryashov approach in dealing with the model of self-phase modulation, pointing out the limitations when the nonlinearity has a generalized form. In contrast to the common approach in the past, the current analysis employs a direct method rather than intermediate phase-portrait analysis.
Article
Optics
Elsayed M. E. Zayed, Mohamed E. M. Alngar, Anjan Biswas, Mehmet Ekici, Padmaja Guggilla, Salam Khan, Hashim M. Alshehri, Milivoj R. Belic
Summary: The paper discusses optical solitons generated by fiber Bragg gratings and the polynomial law of nonlinear refractive index. Soliton solutions to the model are identified utilizing the auxiliary equation approach and an addendum to Kudryashov's method, leading to the emergence of singular periodic solutions as a byproduct.
OPTICS AND SPECTROSCOPY
(2022)
Article
Engineering, Electrical & Electronic
Harun Bolukbasi, Mehmet Ekici, Anjan Biswas
Summary: This paper uncovers a complete spectrum of soliton solutions from a governing model with anti-cubic law of nonlinear refractive index. It implements Jacobi's elliptic function scheme and a limiting approach for the corresponding modulus of ellipticity. The criteria for the existence of such solitons are also enumerated.
OPTICAL AND QUANTUM ELECTRONICS
(2021)
Article
Optics
Elsayed M. E. Zayed, Mohamed E. M. Alngar, Reham M. A. Shohib, Anjan Biswas, Yakup Yildirim, Houria Triki, Seithuti P. Moshokoa, Hashim M. Alshehri
Summary: This paper obtains soliton solutions to the Sasa-Satsuma equation in birefringent fibers with multiplicative noise. The extended auxiliary equation approach reveals solutions in terms of Jacobi's elliptic functions, and bright, dark, and singular solitons emerge when the limiting operation is applied to the modulus of ellipticity, with the limit approaching zero or unity.
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS
(2023)
Article
Multidisciplinary Sciences
Anjan Biswas, Jose Vega-Guzman, Anupma Bansal, Abdul H. Kara, Maggie Aphane, Yakup Yildirim, Hashim M. Alshehri
Summary: This paper investigates solitary waves, shock waves, and singular solitary waves for the Boussinesq equation with surface tension. These waves are obtained using the method of undetermined coefficients. The Lie symmetry analysis provides a fresh perspective to the model, and the multiplier approach is used to compute conserved densities and corresponding conserved quantities.
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
(2023)
Article
Multidisciplinary Sciences
Sandeep Malik, Sachin Kumar, Anjan Biswas, Yakup Yildirim, Luminita Moraru, Simona Moldovanu, Catalina Iticescu, Seithuti P. Moshokoa, Dorin Bibicu, Abdulaziz Alotaibi
Summary: This paper investigates the recovery of cubic-quartic optical solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index structures. Lie symmetry analysis, improved Kudryashov scheme, and generalized Arnous scheme were used. The parameter constraints for the existence of such solitons were identified. Numerical surface plots support the applied analysis.
Article
Multidisciplinary Sciences
Sandeep Malik, Sachin Kumar, Anjan Biswas, Yakup Yildirim, Luminita Moraru, Simona Moldovanu, Catalina Iticescu, Abdulaziz Alotaibi
Summary: This paper revisits highly dispersive optical solitons using Lie symmetry, the Riccati equation approach, and the improved modified extended tanh-function approach. The soliton solutions are recovered and classified, and the conservation laws and corresponding conserved quantities are identified.
Article
Materials Science, Multidisciplinary
Ahmed H. Arnous, Anjan Biswas, Yakup Yildirim, Luminita Moraru, Simona Moldovanu, Abdulah A. Alghamdi
Summary: This study presents the discovery of quiescent optical solitons using Kudryashov's proposed form of self-phase modulation with quintuple nonlinearity and two power-law parameters. The solitons were obtained through an enhanced Kudryashov's algorithm. Stationary singular, dark, and bright solitons were observed, along with parametric restrictions. Both linear and generalized temporal evolution terms were taken into account.
RESULTS IN PHYSICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Ravindra Yadav, Sandeep Malik, Sachin Kumar, Rajesh Sharma, Anjan Biswas, Yakup Yildirim, O. Gonzalez-Gaxiola, Luminita Moraru, Abdulah A. Alghamdi
Summary: This paper utilizes Lie symmetry analysis to study the properties of highly dispersive optical solitons with quadratic-cubic self-phase modulation. By using Lie symmetry analysis, the governing partial differential equation is reduced to an ordinary differential equation, which is then integrated using an enhanced Kudryashov approach to obtain soliton solutions for the model. The analysis in this paper does not explicitly discuss the formation and dynamics of soliton radiation.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Optics
Islam Samir, Ahmed H. Arnous, Abdul H. Kara, Anjan Biswas, Yakup Yldrm, Asim Asiri
Summary: This paper focuses on the retrieval method of cubic-quartic optical solitons with quadrupled power and nonlinearity governed by cubic-quintic-septic-nonic laws. The enhanced Kudryashov's approach successfully retrieves the full spectrum of solitons, while the method of multipliers reveals the conservation laws corresponding to the two models.
JOURNAL OF OPTICS-INDIA
(2023)
Article
Optics
Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Yakup Yildirim, Asim Asiri
Summary: This paper examines the dispersive concatenation model with power-law of nonlinearity, revealing bright and singular soliton solutions to the model through two integration schemes. The method of multipliers is used to derive conservation laws, and the corresponding conserved quantities are also presented in the paper.
JOURNAL OF OPTICS-INDIA
(2023)
Article
Optics
Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Yakup Yildirim, Carmelia Mariana Balanica Dragomir, Asim Asiri
Summary: This paper addresses the concatenation model without self-phase modulation and presents two integration approaches to obtain soliton solutions, along with the parameter constraints for their existence. The conservation laws are also derived using the multipliers approach.
JOURNAL OF OPTICS-INDIA
(2023)
Article
Mathematics, Applied
Pinar Albayrak, Muslum Ozisik, Mustafa Bayram, Aydin Secer, Sebahat Ebru Das, Anjan Biswas, Yakup Yildirim, Mohammad Mirzazadeh, Asim Asiri
Summary: In this research, the effects of third-order dispersion and nonlinear dispersion on pure-cubic solitons in the absence of chromatic dispersion are investigated. The research involves deriving the nonlinear ordinary differential equation form, deriving both bright and singular optical solitons using a simplified version of the extended auxiliary equation method, examining the influence of model parameters on these solitons, and validating the results. The novelty of this paper lies in its application of a simplified version of the extended auxiliary equation approach to recover optical solitons.
CONTEMPORARY MATHEMATICS
(2023)
Article
Optics
Elsayed M. E. Zayed, Reham M. A. Shohib, Mohamed E. M. Alngar, Anjan Biswas, Yakup Yildirim, Asim Asiri
Summary: This paper investigates the dynamics of optical solitons in the presence of multiplicative white noise within a DWDM topology. By using Jacobi's elliptic function and Ito Calculus, the soliton solutions were obtained. The white noise has an exclusive effect on the phase component of the solitons.
JOURNAL OF OPTICS-INDIA
(2023)
Article
Optics
Rahul Kumar, Rajeev Kumar, Anupma Bansal, Anjan Biswas, Yakup Yildirim, Seithuti P. Moshokoa, Asim Asiri
Summary: This paper applies the classical Lie symmetry method to study optical solitons in the Chen-Lee-Liu equation. By establishing symmetries, the model is transformed into a set of ordinary differential equations, and solutions to the reduced equations are obtained through various methods.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Nikolay A. Kudryashov, Aleksandr A. Kutukov, Anjan Biswas, Qin Zhou, Yakup Yildirim, Ali Saleh Alshomrani
Summary: The current paper investigates optical soliton solutions in the concatenation model with power-law nonlinearity. The traveling wave hypothesis is used as a starting point, and detailed mathematical analysis leads to the discovery of cnoidal waves and snoidal waves, which eventually result in bright and singular soliton solutions when the modulus of ellipticity reaches the appropriate limiting value.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Optics
Abdullahi Rashid Adem, Anjan Biswas, Yakup Yildirim, Asim Asiri
Summary: This study successfully uncovers the implicit quiescent optical soliton solutions within the concatenation model using Lie symmetry analysis, and further explores the effects of both linear and generalized temporal evolution in the model, providing a comprehensive understanding of the system's behavior.
JOURNAL OF OPTICS-INDIA
(2023)
Article
Optics
M. A. Shohib Reham, E. M. Alngar Mohamed, Biswas Anjan, Yildirim Yakup, Triki Houria, Moraru Luminita, Iticescu Catalina, Georgescu Puiu Lucian, Asiri Asim
Summary: This paper focuses on the retrieval of solitons in magneto-optic waveguides for the concatenation model with Kerr law of nonlinear refractive index. The simplest equation approach and the extended simplest equation method collectively reveal a full spectrum of soliton solutions to the model. The parameter constraints guarantee the existence of such solitons.
UKRAINIAN JOURNAL OF PHYSICAL OPTICS
(2023)
