Browsing Mathematics and Statistics-Research Publications by Author "Biswas, Anjan"
Now showing items 1-13 of 13
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Cubic-Quartic Optical Solitons in Fiber Bragg Gratings with Dispersive Reflectivity Having Parabolic Law of Nonlinear Refractive Index by Lie Symmetry
Malik, Sandeep; Kumar, Sachin; Biswas, Anjan; Y?ld?r?m, Yakup; Moraru, Luminita; Moldovanu, Simona; Iticescu, Catalina; Alshehri, Hashim M. (MDPI, 2022-11-11)This work recovers cubic-quartic optical solitons with dispersive reflectivity in fiber Bragg gratings and parabolic law of nonlinearity. The Lie symmetry analysis first reduces the governing partial differential equations ... -
Cubic�Quartic Optical Soliton Perturbation with Differential Group Delay for the Lakshmanan�Porsezian�Daniel Model by Lie Symmetry
Kumar, Sachin; Biswas, Anjan; Y?ld?r?m, Yakup; Moraru, Luminita; Moldovanu, Simona; Alshehri, Hashim M.; Maturi, Dalal Adnan; Al-Bogami, Dalal H. (MDPI, 2022-01-26)This paper employs Lie symmetry analysis to recover cubic�quartic optical soliton solutions to the Lakshmanan�Porsezian�Daniel model in birefringent fibers. The results are a sequel to the previously reported work on the ... -
Cubic�quartic optical solitons in fiber Bragg gratings with Kerr law of nonlinearity and dispersive reflectivity by Lie symmetry
Alshehri, Hashim M.; Maturi, Dalal A.; Al-Bogami, Dalal H.; Kumar, Sachin; Y?ld?r?m, Yakup; Biswas, Anjan (Elsevier GmbH, 2022-09-12)The present study derives cubic�quartic optical solitons in fiber Bragg gratings having Kerr law of nonlinearity along with dispersive reflectivity. The Lie symmetry analysis collapses the coupled partial differential ... -
Embedded Solitons and Conservation Law with χ (2) and χ (3) Nonlinear Susceptibilities
Savescu, M.; Karab, A. H.; Kumar, Sachin.; Krishnan, E. V.; Zaka Ullah, M.; Moshokoa, S. P.; Zhou, Qin; Biswas, Anjan (2017)This paper studies embedded solitons that are confined to continuous spectrum, with χ (2) and χ (3) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficient ... -
Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic�Quartic Dispersive Reflectivity by Lie Symmetry
Malik, Sandeep; Kumar, Sachin; Biswas, Anjan; Y?ld?r?m, Yakup; Moraru, Luminita; Moldovanu, Simona; Iticescu, Catalina; Moshokoa, Seithuti P.; Bibicu, Dorin; Alotaibi, Abdulaziz (MDPI, 2023-04-24)The current paper recovers cubic�quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, ... -
Highly Dispersive Optical Solitons in the Absence of Self-Phase Modulation by Lie Symmetry
Malik, Sandeep; Kumar, Sachin; Biswas, Anjan; Y?ld?r?m, Yakup; Moraru, Luminita; Moldovanu, Simona; Iticescu, Catalina; Alotaibi, Abdulaziz (MDPI, 2023-04-10)The paper revisits highly dispersive optical solitons that are addressed by the aid of Lie symmetry followed by the implementation of the Riccati equation approach and the improved modified extended tanh-function approach. ... -
Highly dispersive W�shaped and other optical solitons with quadratic�cubic nonlinearity: Symmetry analysis and new Kudryashov's method
Yadav, Ravindra; Malik, Sandeep; Kumar, Sachin; Sharma, Rajesh; Biswas, Anjan; Y?ld?r?m, Yakup; Gonz�lez-Gaxiola, O.; Moraru, Luminita; Alghamdi, Abdulah A. (Elsevier Ltd, 2023-06-24)Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic�cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of ... -
Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov�s approach
Malik, Sandeep; Kumar, Sachin; Biswas, Anjan; Ekici, Mehmet; Dakova, Anelia; Alzahrani, Abdullah Khamis; Belic, Milivoj R. (Springer Science and Business Media B.V., 2021-06-24)A combination of Lie symmetry analysis and Kudryashov�s approach secures optical soliton solutions with fiber Bragg gratings. The bifurcation analysis is carried out, and the phase portrait is presented. � 2021, The ... -
Optical solitons and other invariant solutions with fiber Bragg gratings and dispersive reflectivity having parabolic�nonlinear combo nonlinearity
Alshehri, Ahmed M.; Alshehri, Hashim M.; Alshreef, Abdullah N.; Kumar, Sachin; Y?ld?r?m, Yakup; Biswas, Anjan (Elsevier GmbH, 2022-08-17)The current paper addresses the bifurcation analysis and sketches the phase portraits of the dynamical system that emerged from fiber Bragg gratings structure due to parabolic�nonlocal combo nonlinearity. The Lie symmetry ... -
Optical solitons for the concatenation model with Kurdryashov�s approaches
Kukkar, Akshat; Kumar, Sachin; Malik, Sandeep; Biswas, Anjan; Y?ld?r?m, Yakup; Moshokoa, Seithuti P.; Khan, Salam; Alghamdi, Abdulah A. (Institute of Physical Optics, 2023-05-04)This paper implements two of Kudryashov�s approaches to extract optical soliton solutions to the concatenation model that is a conjunction of the nonlinear Schr�dinger�s equation, Lakshmanan�Porsezian�Daniel model, and the ... -
Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis
Kumar, Sachin; Zhou, Qin; Biswas, Anjan; Belic, Milivoj (National Institute of Optoelectronics, 2016)This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation ... -
Solitons and other solutions to Wu–Zhang system
Mirzazadeha, Mohammad; Ekicib, Mehmet; Eslamic, Mostafa; Krishnand, Edamana Vasudevan; Kumar, Sachin; Biswas, Anjan (Vilnius University, 2017)This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions. Subsequently, Lie group formalism is ... -
Straddled optical solitons for cubic�quartic Lakshmanan�Porsezian�Daniel model by Lie symmetry
Kumar, Sachin; Biswas, Anjan; Zhou, Qin; Y?ld?r?m, Yakup; Alshehri, Hashim M.; Belic, Milivoj R. (Elsevier B.V., 2021-09-22)This study obtains straddled singular�bright optical solitons to cubic�quartic Lakshmanan�Porsezian�Daniel equation by Lie symmetry analysis. The reduced ordinary differential equations are handled using Kudryashov's method. ...