Browsing by Author "Moshokoa, Seithuti P."
Now showing 1 - 20 of 24
- Results Per Page
- Sort Options
Item Conservation laws for perturbed solitons in optical metamaterials(Elsevier, 2017-12-25) Biswas, Anjan; Triki, Houria; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4443-3337; 0000-0003-4732-5753; HTO-9875-2023; AAG-9947-2021; 23471031300; 56988856400The conservation laws for the dynamics of soliton propagation through optical metamaterials are derived by the aid of Lie symmetry analysis. The proposed model will be studied with two forms of nonlinearity. They are Kerr law and parabolic law.Item Dispersive optical solitons with Schrödinger–Hirota model by trial equation method(Elsevier, 2018-02-21) Biswas, Anjan; Zhou, Qin; Alshomrani, Ali Saleh; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300This paper obtains bright, dark and singular dispersive optical soliton solutions to Schrodinger-Hirota equation by the aid of trial equation method. Both Kerr and power laws of nonlinearity are studied. Singular periodic solutions are also obtained as a byproduct of this scheme.Item Lie symmetry analysis and exact solutions to N-coupled nonlinear Schrodinger’s equations with kerr and parabolic law nonlinearities(Editura Acad Romane, 2018) Triki, Houria; Zhou, Qin; Moshokoa, Seithuti P.; Ullah, Malik Zaka; Biswas, Anjan; Belic, Milivo; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4443-3337; 0000-0003-4732-5753; HTO-9875-2023; AAG-9947-2021; 56988856400; 23471031300This paper addresses N-coupled nonlinear Schrodinger's equation with spatio-temporal dispersion for Kerr and parabolic laws of nonlinearity by the aid of Lie symmetry analysis. We systematically construct similarity reductions to the derived ordinary differential equations by Lie group analysis. These equations lead to exact solutions.Item Optical soliton molecules in birefringent fibers having weak non-local nonlinearity and four-wave mixing with a couple of strategic integration architectures(Elsevier, 2019) Biswas, Anjan; Zhou, Qin; Khan, Salam; Adesanya, Samuel; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik/Uygulamalı Matematik Bölümü.; 0000-0003-4443-3337; AAG-9947-2021; 56988856400; 23471031300This paper retrieves optical solitons in birefringent fibers having non-local nonlinearity in presence of four-wave mixing. Phase-matching conditions have been implemented to display these solitons. Bright, dark and singular soliton solutions are revealed.Item Optical soliton perturbation for complex Ginzburg–Landau equation with modified simple equation method(Elsevier, 2017-12-26) Biswas, Anjan; Triki, Houria; Alshomrani, Ali Saleh; Ullah, Malik Zaka; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300The modified simple equation method applied to perturbed complex Ginzburg-Landau equation gives dark and singular solutions to the model. The perturbation terms appear with full nonlinearity. There are eight nonlinear forms studied in this paper. These solitons appear with constraint conditions that gurantee its existence and these are also presented.Item Optical soliton perturbation for Radhakrishnan–Kundu–Lakshmanan equation with a couple of integration schemes(Elsevier, 2018-02-27) Biswas, Anjan; Mahmood, Mohammad F.; Alshomrani, Ali Saleh; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300This paper obtains optical soliton solutions to the perturbed Radhakrishnan-Kundu-Lakshmanan equation by trial equation method and modified simple equation algorithm. There are two types of nonlinear fibers studied in this paper. They are Kerr law and power law. Bright, dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also fall out of the integration schemes.Item Optical soliton perturbation with complex Ginzburg–Landau equation using trial solution approach(Elsevier, 2018-01-31) Biswas, Anjan; Triki, Houria; Alshomrani, Ali Saleh; Ullah, Malik Zaka; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300This paper retrieves optical soliton solution to the perturbed complex Ginzburg-Landau equation that is studied with nine different forms of nonlinearity. The trial solutions approach is the integration algorithm adopted in this paper. The perturbation terms appear with full nonlinearity to get a taste of generalized setting. Bright, dark and singular soliton solutions are obtained. The existence criteria of such solitons are also presented.Item Optical soliton perturbation with full nonlinearity by trial equation method(Elsevier, 2018) Biswas, Anjan; Triki, Houria; Alshomrani, Ali Saleh; Ullah, Malik Zaka; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4443-3337; HTO-9875-2023; AAG-9947-2021; 56988856400; 23471031300This paper studies optical soliton perturbation with spatio-temporal dispersion by trial equation method. There are five types of nonlinear fibers studied in this paper. They are quadratic-cubic law, anti-cubic law, cubic-quintic-septic law, triple-power law and log-law. Bright, dark and singular soliton solutions are recovered. In addition, singular periodic solutions naturally emerge as a byproduct of this integration mechanism.Item Optical soliton perturbation with full nonlinearity for Gerdjikov–Ivanov equation by trial equation method(Elsevier, 2017-12-20) Biswas, Anjan; Triki, Houria; Alshomrani, Ali Saleh; Ullah, Malik Zaka; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300This paper obtains optical soliton solution to perturbed Gerdjikov-Ivanov equation by trial equation approach. Bright, dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also emerge of this integration scheme.Item Optical soliton perturbation with full nonlinearity for Kundu–Eckhaus equation by modified simple equation method(Elsevier, 2018) Biswas, Anjan; Triki, Houria; Alshomrani, Ali Saleh; Ullah, Malik Zaka; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0003-4443-3337; 0000-0003-4732-5753; HTO-9875-2023; AAG-9947-2021; 56988856400; 23471031300This paper secures dark and singular optical soliton solution to the perturbed Kundu-Eckhaus equation where the perturbation terms appear with full nonlinearity. The integration algorithm adopted in this paper is the modified simple equation approach. The solitons appear with certain parameter restrictions that are listed as constraints.Item Optical soliton perturbation with full nonlinearity in polarization preserving fibers using trial equation method(National Institute for Optoelectronics, 2018) Biswas, Anjan; Triki, Houria; Zhou, Qin; Moshokoa, Seithuti P.; Ullah, Malik Zaka; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı.; 0000-0003-4732-5753; 0000-0003-4443-3337; HTO-9875-2023; AAG-9947-2021; 56988856400; 23471031300This paper obtains optical soliton solution to perturbed nonlinear SchrOdinger's equation by trial equation approach. There are nine types of nonlinear fibers studied in this paper. They are Kerr-law, power-law, quadratic-cubic law, parabolic-law, dual-power law, log-law, anti-cubic law, cubic-quintic-septic law and triple-power law. Bright, dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also fall out of the integration scheme.Item Optical soliton perturbation with Gerdjikov–Ivanov equation by modified simple equation method(Elsevier, 2017-12-20) Biswas, Anjan; Triki, Houria; Alshomrani, Ali Saleh; Ullah, Malik Zaka; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300The modified simple equation scheme is employed to secure dark and singular optical soliton solution to the perturbed Gerdjikov-Ivanov equation that models pulse dynamics in optical fibers and PCF. The solvability conditions for this algorithm is also presented.Item Optical soliton perturbation with quadratic-cubic nonlinearity using a couple of strategic algorithms(Physical Society of the Republic of China, 2018-10) Biswas, Anjan; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300In this work, we derive bright, dark and singular soliton solutions to quadratic-cubic nonlinear media with perturbation terms being present. We perform the modified simple and the trial equation algorithms to the considered model. In addition, periodic singular wave solutions will be constructed by the integration schemes.Item Optical soliton perturbation with resonant nonlinear Schrödinger's equation having full nonlinearity by modified simple equation method(Elsevier, 2018-01-31) Biswas, Anjan; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300This paper retrieves soliton solutions to the perturbed resonant nonlinear Schrodinger's equation with time-dependent coefficients using the modified simple equation method. The four types of exotic non-Kerr laws studied in this paper are quadratic-cubic law, anti cubic law, cubic-quintic-septic law and triple-power law. These soliton solutions appear with constraint conditions that guarantee their existence.Item Optical soliton solutions to Fokas-lenells equation using some different methods(Elsevier, 2018-07-24) Biswas, Anjan; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Bursa Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300Dark and bright with singular solitons shall be yielded to Fokas Lenells equation which describes soliton dynamics in optical fibers. The two integration schemes that are applied in this context are the modified simple equation method and the trial equation method. Additional solutions, besides, optical solitons, are recovered.Item Optical solitons and conservation law of Kundu-Eckhaus equation(Elsevier, 2017-10-18) Mirzazadeh, Mohammad; Triki, Houria; Zhou, Qin; Moshokoa, Seithuti P.; Ullah, Malik Zaka; Seadawy, Aly R.; Biswas, Anjan; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı.; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 23471031300; 56988856400This paper obtains optical soliton solutions to the Kundu Eckhaus equation with general coefficients. The Riccati Bernoulli's sub-ODE method as well as Kudryashov's scheme are employed to obtain soliton solutions to the model. This generalized earlier reported result of the model with specific coefficients. Subsequently, the multiplier approach was utilized to secure a conserved quantity with the bright soliton solution that was reported earlier.Item Optical solitons for Lakshmanan-Porsezian-Daniel model by modified simple equation method(Elsevier, 2018-01-31) Biswas, Anjan; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300The soliton solutions are extracted from the Lakshmanan-Porsezian-Daniel model by the aid of modified simple equation method. There are three forms of fibers that are studied and they represent Kerr law, parabolic law and anti-cubic law. The implementation of the scheme yields dark and singular soliton solutions to the model. The constraint conditions hold these solitons in place.Item Optical solitons in birefringent fibers with weak non-local nonlinearity using two forms of integration architecture(Elsevier, 2019) Biswas, Anjan; Zhou, Qin; Moshokoa, Seithuti P.; Alfiras, Mohanad; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300This paper implements two efficient integration algorithms to retrieve soliton solutions that appear with weak nonlocal nonlinearity. These are trial equation method and modified simple equation scheme. Bright, dark and singular soliton solutions are recovered and their existence criteria are also presented.Item Optical solitons with differential group delay and four-wave mixing using two integration procedures(Elsevier, 2018) Biswas, Anjan; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı.; 0000-0003-4443-3337; HTO-9875-2023; AAG-9947-2021; 56988856400; 23471031300Optical solitons in birefringent fibers with the effect of four-wave mixing having both parabolic and Kerr law nonlinearity are obtained by the modified simple equation scheme and the trial equation approach. Dark, bright as well as singular soliton type solutions are derived. Also, the two integration schemes give rise to additional solutions such as singular periodic solutions. (C) 2018 Elsevier GmbH. All rights reserved.Item Optical solitons with differential group delay by trial equation method(Elsevier, 2018-01-30) Biswas, Anjan; Zhou, Qin; Moshokoa, Seithuti P.; Belic, Milivoj; Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300This paper secures bright, dark and singualr soliton solutions in birefringent fibers. Both Kerr law and parabolic law nonlinearity are studied. The trial equation method successfully retrieves these solitons with constraint relations that assure their existence.