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Journal of Electromagnetic Waves and Applications Volume 28, 2014 - Issue 2
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Articles

Conservation laws for optical solitons with spatio-temporal dispersion

Michelle SavescuDepartment of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA.;Department of Mathematics, Kuztown University of Pennsylvania, 5200 Kutztown Road, Kuztown, PA-19530, USA.
,
Stephen JohnsonDepartment of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA.;Lake Forest High School, Felton, DE 19943USA.
,
Abdul H. KaraSchool of Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa.
,
Sihon H. CrutcherUS Army Research, Development and Engineering Command, Building 5400, Redstone Arsenal, AL 35898-5000, USA.
,
Russell KohlDepartment of Mathematics and Computer Science, University of Maryland Eastern Shore, Princess Anne, MD-21853, USA.
&
Anjan BiswasDepartment of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA.;Faculty of Sciences, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia.Correspondence[email protected]
[email protected]
Pages 242-252 | Received 04 Oct 2013, Accepted 04 Nov 2013, Published online: 25 Nov 2013

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Nauman Raza & Asad Zubair. (2018) Bright, dark and dark-singular soliton solutions of nonlinear Schrödinger's equation with spatio-temporal dispersion. Journal of Modern Optics 65:17, pages 1975-1982.
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Ebru Cavlak Aslan & Mustafa Inc. (2017) Soliton solutions of NLSE with quadratic-cubic nonlinearity and stability analysis. Waves in Random and Complex Media 27:4, pages 594-601.
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Qin Zhou. (2016) Analytical 1-solitons in a nonlinear medium with higher-order dispersion and nonlinearities. Waves in Random and Complex Media 26:2, pages 197-203.
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Qin Zhou & Qiuping Zhu. (2015) Combined optical solitons with parabolic law nonlinearity and spatio-temporal dispersion. Journal of Modern Optics 62:6, pages 483-486.
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Seyma Tuluce Demiray & Hasan Bulut. (2015) Some exact solutions of generalized Zakharov system. Waves in Random and Complex Media 25:1, pages 75-90.
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Qin Zhou & Qiuping Zhu. (2015) Optical solitons in medium with parabolic law nonlinearity and higher order dispersion. Waves in Random and Complex Media 25:1, pages 52-59.
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Qin Zhou. (2014) Analytical solutions and modulation instability analysis to the perturbed nonlinear Schrödinger equation. Journal of Modern Optics 61:6, pages 500-503.
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Wei-Qi Peng, Shou-Fu Tian & Tian-Tian Zhang. (2019) Dynamics of the soliton waves, breather waves, and rogue waves to the cylindrical Kadomtsev-Petviashvili equation in pair-ion–electron plasma. Physics of Fluids 31:10.
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Wei-Qi Peng, Shou-Fu Tian, Li Zou & Tian-Tian Zhang. (2018) Stability analysis solutions and optical solitons in extended nonlinear Schrödinger equation with higher-order odd and even terms. Superlattices and Microstructures 113, pages 726-736.
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Mezache Zinelabiddine & Benabdelaziz Fatiha. (2017) Effect of the Nonlinear Parameters on the Propagation in Bi-isotropic Media. International Journal of Nonlinear Sciences and Numerical Simulation 18:6, pages 541-547.
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Ebru Cavlak Aslan, Mustafa Inc & Dumitru Baleanu. (2017) Optical solitons and stability analysis of the NLSE with anti-cubic nonlinearity. Superlattices and Microstructures 109, pages 784-793.
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Houria Triki & Abdul-Majid Wazwaz. (2017) New types of chirped soliton solutions for the Fokas–Lenells equation. International Journal of Numerical Methods for Heat & Fluid Flow 27:7, pages 1596-1601.
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E.M.E. Zayed & A.-G. Al-Nowehy. (2017) Exact Solutions and Optical Soliton Solutions of the Nonlinear Biswas-Milovic Equation with Dual-Power Law Nonlinearity. Acta Physica Polonica A 131:1, pages 240-251.
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Houria Triki, Anjan Biswas, Seithuti P. Moshokoa & Milivoj Belic. (2017) Optical solitons and conservation laws with quadratic-cubic nonlinearity. Optik 128, pages 63-70.
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Houria Triki, Abdul H. Kara, Anjan Biswas, Seithuti P. Moshokoa & Milivoj Belic. (2016) Optical solitons and conservation laws with anti-cubic nonlinearity. Optik 127:24, pages 12056-12062.
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Zinelabiddine Mezache, Samia Aib, Fatiha Benabdelaziz & Chemseddine Zebiri. (2016) Modeling of a light pulse in bi-isotropic optical fiber with Kerr effect: case of Tellegen media. Nonlinear Dynamics 86:2, pages 789-794.
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Houria Triki & Abdul-Majid Wazwaz. (2016) WITHDRAWN: New chirped soliton-like solutions of the Fokas-Lenells equation. Communications in Nonlinear Science and Numerical Simulation.
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Qin Zhou & Sha Liu. (2015) Dark optical solitons in quadratic nonlinear media with spatio-temporal dispersion. Nonlinear Dynamics 81:1-2, pages 733-738.
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Seçil Demiray, Ömer Ünsal & Ahmet Bekir. (2015) Exact solutions of nonlinear wave equations using (G′/G,1/G)-expansion method. Journal of the Egyptian Mathematical Society 23:1, pages 78-84.
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Yaw-Dong Wu. (2015) ALL-OPTICAL LOGIC GATES BASED ON SPATIAL-SOLITON INTERACTIONS IN OPTICAL COMMUNICATION SPECTRAL REGION. Progress In Electromagnetics Research M 43, pages 71-79.
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