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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

References

  • Biswas A, Konar S. Introduction to non-Kerr law optical solitons. Boca Raton, FL. USA: CRC Press; 2006.
  • Biswas A, Fessak M, Johnson S, Beatrice S, Milovic D, Jovanoski Z, Kohl R, Majid F. Optical soliton perturbation in non-Kerr law media: traveling wave solution. Opt. Laser Technol. 2012;44:1775–1780.
  • Biswas A, Milovic D, Savescu M, Mahmood MF, Khan KR, Kohl R. Optical soliton perturbation in nano-fibers with improved nonlinear Schrödinger’s equation by semi-inverse variational principle. J. Nonlinear Opt. Phys. Mater. 2012;12:1250054
  • Fokas AS. On a class of physically important integral equations. Physica D. 1995;87:145–150.
  • Geng X, Lv Y. Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation. Nonlinear Dyn. 2012;69:1621–1630.
  • Jovanoski Z, Rowland DR. Variational analysis of solitary waves in a homogeneous cubic-quintic nonlinear medium. J. Mod. Opt. 2001;48:1179–1193.
  • Kohl R, Biswas A, Milovic D, Zerrad E. Optical soliton perturbation in a non-Kerr law media. Opt. Laser Technol. 2008;40:647–662.
  • Kumar S, Singh K, Gupta RK. Coupled Higgs field equation and Hamiltonian amplitude equation: Lie classical approach and G׳ / G-expansion method. Pramana. 2012;79:41–60.
  • Lenells L, Fokas AS. An integrable generalization of the nonlinear Schrödinger’s equation on the half line and solitons. Inverse Probl. 2009;25:115006
  • Lenells L, Fokas AS. Dressing for a novel integrable generalization of the nonlinear Schrödinger’s equation. J. Nonlinear Sci. 2010;20:709–722.
  • Savescu M, Khan KR, Naruka P, Jafari H, Moraru L, Biswas A. Optical solitons in photonic nanowaveguides with an improved nonlinear Schrödinger’s equation. J. Comput. Theor. Nanosci. 2013;10:1182–1191.
  • Savescu M, Khan KR, Kohl RW, Moraru L, Yildirim A, Biswas A. Optical soliton perturbation with improved nonlinear Schrödinger’s equation in nanofibers. J. Nanoelectronics Optoelectron. 2013;8:208–220.
  • Triki H, Biswas A. Dark solitons for a generalized nonlinear Schrödinger’s equation with parabolic and dual-power law nonlinearities. Math. Methods Appl. Sci. 2011;34:958–962.
  • Xu Y, Jovanoski Z, Bouasla A, Triki H, Moraru L, Biswas A. Optical solitons in multi-dimensions with spatio-temporal dispersion and non-Kerr law nonlinearity. J. Nonlinear Opt. Phys. Mater. 2013;22:1350035.
  • Wadati M, Segur H, Ablowitz MJ. A new Hamiltonian amplitude equation governing modulated wave instabilities. J. Phys. Soc. Jpn. 1992;61:1187–1193.

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