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Journal of Modern Optics Volume 57, 2010 - Issue 4
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Original Articles

Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations

C.G. Latchio Tiofack Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
,
Alidou Mohamadou Condensed Matter Laboratory, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon; The Abdus Salam International Center For Theoretical Physics, P.O. Box 586, Strada Costiera, 11, I-34014 Trieste, ItalyCorrespondence[email protected]
,
Timoléon C. Kofané Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon; The Abdus Salam International Center For Theoretical Physics, P.O. Box 586, Strada Costiera, 11, I-34014 Trieste, Italy
&
K. Porsezian Department of Physics, Pondicherry University, Puducherry–605 014, India
Pages 261-272 | Received 25 Jul 2009, Accepted 02 Dec 2009, Published online: 08 Mar 2010

Citations (19)

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Xin Zhao, Bo Tian, Chen-Rong Zhang & Meng Wang. (2021) Bilinear forms and vector bright solitons for a coupled nonlinear Schrödinger system with variable coefficients in an inhomogeneous optical fiber. Waves in Random and Complex Media 0:0, pages 1-14.
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Xi-Yang Xie, Bo Tian, Han-Peng Chai & Yan Jiang. (2017) Dark soliton collisions for an N-coupled nonlinear Schrödinger system in the inhomogeneous optical fiber. Waves in Random and Complex Media 27:2, pages 265-271.
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V.N. Serkin, Akira Hasegawa & T.L. Belyaeva. (2013) Geiger–Nuttall law for Schrödinger solitons. Journal of Modern Optics 60:2, pages 116-127.
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T.L. Belyaeva, V.N. Serkin, C. Hernandez-Tenorio & F. Garcia-Santibañez. (2010) Enigmas of optical and matter-wave soliton nonlinear tunneling. Journal of Modern Optics 57:12, pages 1087-1099.
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Articles from other publishers (15)

Chengcheng Fan, Li Li & Fajun Yu. (2023) Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation. Scientific Reports 13:1.
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Dan-Yu Yang, Bo Tian & Yuan Shen. (2023) Generalized Darboux transformation and rogue waves for a coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber. Chinese Journal of Physics 82, pages 182-193.
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Calvin Djoptoussia, Camus Gaston Latchio Tiofack, Alim, Alidou Mohamadou & Timoléon Crépin Kofané. (2022) Ultrashort self-similar periodic waves and similaritons in an inhomogeneous optical medium with an external source and modulated coefficients. Nonlinear Dynamics 107:4, pages 3833-3846.
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Timoléon C. Kofané, Conrad B. Tabi, Alain B. Moubissi & Clément Tchawoua. (2020) From African “tam-tam” to nonlinear optics [Invited]. Journal of the Optical Society of America B 37:11, pages A346.
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Yang Han, Bo Tian, Yu-Qiang Yuan, Chen-Rong Zhang & Su-Su Chen. (2019) Bilinear forms and bright-dark solitons for a coupled nonlinear Schrödinger system with variable coefficients in an inhomogeneous optical fiber. Chinese Journal of Physics 62, pages 202-212.
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N. M. Musammil, P. A. Subha & K. Nithyanandan. (2019) Phase dynamics of inhomogeneous Manakov vector solitons. Physical Review E 100:1.
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P. Albares, E. Díaz, Jose M. Cerveró, F. Domínguez-Adame, E. Diez & P. G. Estévez. (2018) Solitons in a nonlinear model of spin transport in helical molecules. Physical Review E 97:2.
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Lei Liu, Bo Tian, Xiao-Yu Wu & Yu-Qiang Yuan. (2017) Vector Dark Solitons for a Coupled Nonlinear Schrödinger System with Variable Coefficients in an Inhomogeneous Optical Fibre. Zeitschrift für Naturforschung A 72:8, pages 779-787.
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N. M. Musammil, K. Porsezian, P. A. Subha & K. Nithyanandan. (2017) Dynamics of vector dark solitons propagation and tunneling effect in the variable coefficient coupled nonlinear Schrödinger equation. Chaos: An Interdisciplinary Journal of Nonlinear Science 27:2.
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Lei Wang, Lu-Lu Zhang, Yu-Jie Zhu, Feng-Hua Qi, Pan Wang, Rui Guo & Min Li. (2016) Modulational instability, nonautonomous characteristics and semirational solutions for the coupled nonlinear Schrödinger equations in inhomogeneous fibers. Communications in Nonlinear Science and Numerical Simulation 40, pages 216-237.
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Yunqing Yang, Zhenya Yan & Dumitru Mihalache. (2015) Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrödinger equations with varying source terms. Journal of Mathematical Physics 56:5.
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M.S. Mani Rajan, A. Mahalingam & A. Uthayakumar. (2014) Nonlinear tunneling of optical soliton in 3 coupled NLS equation with symbolic computation. Annals of Physics 346, pages 1-13.
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M. S. Mani Rajan, J. Hakkim, A. Mahalingam & A. Uthayakumar. (2013) Dispersion management and cascade compression of femtosecond nonautonomous soliton in birefringent fiber. The European Physical Journal D 67:7.
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Chaoqing Dai, YueYue Wang & Jiefang Zhang. (2010) Nonlinear similariton tunneling effect in the birefringent fiber. Optics Express 18:16, pages 17548.
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C G Latchio Tiofack, Alidou Mohamadou, Timoleon C Kofane & K Porsezian. (2010) Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled Hirota–Maxwell–Bloch equations. Journal of Optics 12:8, pages 085202.
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