Optical soliton perturbation in non-Kerr law media: Traveling wave solution

Optics & Laser Technology - Tập 44 - Trang 263-268 - 2012
Anjan Biswas1, Megan Fessak1, Stephen Johnson1, Siercke Beatrice2, Daniela Milovic3, Zlatko Jovanoski4, Russell Kohl5, Fayequa Majid5
1Department of Mathematical Sciences, Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA
2Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA
3Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Serbia
4School of Physical, Environmental and Mathematical Sciences, The University of New South Wales at ADFA, ACT 2600, Australia
5Department of Mathematics, Alabama A&M University, Normal, AL 35762, USA

Tài liệu tham khảo

Kivshar, 2003 Konar, 2010, Incoherently coupled two component screening photovoltaic solitons in two-photon photorefractive materials under the action of external field, Optics and Laser Technology, 42, 1294, 10.1016/j.optlastec.2010.04.005 Konar, 2010, External electric field induced modulational instability of an electromagnetic beam in two-photon photorefractive materials, Optics and Laser Technology, 42, 1276, 10.1016/j.optlastec.2010.04.002 Liu, 2010, Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers: soliton interaction and soliton control, Annals of Physics, 325, 1633, 10.1016/j.aop.2010.02.012 Lü, 2008, Multisoliton solutions in terms of double Wronskian determinant for a generalized variable coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications, Annals of Physics, 323, 1947, 10.1016/j.aop.2007.10.007 Topkara, 2010, Optical solitons with non-Kerr law nonlinearity and inter-modal dispersion with time-dependent coefficients, Communications in Nonlinear Science and Numerical Simulation, 15, 2320, 10.1016/j.cnsns.2009.09.029 Biswas, 2008, Soliton parameter dynamics in a non-Kerr law media, Progress in Electromagnetic Research, 1, 1, 10.2528/PIERC07121707 Green, 2010, Bright and dark optical solitons with time-dependent coefficients in a non-Kerr law media, Communications in Nonlinear Science and Numerical Simulation, 15, 3865, 10.1016/j.cnsns.2010.01.018 Biswas, 2008, Optical soliton cooling in a saturable law media, Journal of Electromagnetic Waves and Applications, 22, 1735, 10.1163/156939308786375163 Buslaev, 2001, Simulation of instability of bright solitons for NLS with saturating nonlinearity, Mathematics and Computers in Simulation, 56, 539, 10.1016/S0378-4754(01)00323-8 Kohl, 2008, Optical soliton perturbation in a non-Kerr law media, Optics and Laser Technology, 40, 647, 10.1016/j.optlastec.2007.10.002 Yang, 2000, Stability and evolution of solitary waves in perturbed generalized nonlinear Schrödinger's equation, SIAM Journal of Applied Mathematics, 60, 967, 10.1137/S0036139998341898 Zhang, 2010, New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity, Applied Mathematics and Computation, 216, 3064, 10.1016/j.amc.2010.04.026 Sarma, 2009, Solitary wave solutions of higher order NLSE with Raman and self-steepening effect in a cubic-quitic-septic medium, Communications in Nonlinear Science and Numerical Simulation, 14, 3215, 10.1016/j.cnsns.2009.01.008 Zhang, 2011, Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity, Physics Letters A, 375, 1275, 10.1016/j.physleta.2010.11.070 Zhang, 2011, New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity via modified trigonometric function series method, Communications in Nonlinear Science and Numerical Simulation, 16, 3097, 10.1016/j.cnsns.2010.12.010 Jovanoski, 2008, Exact domain-wall solitons, Physics Letters A, 372, 610, 10.1016/j.physleta.2007.07.068 Topkara, 2009, A study of optical solitons with Kerr and power law nonlinearities by He's variational principle, Journal of the European Optical Society, 4, 09050, 10.2971/jeos.2009.09050 Jovanoski, 2001, Variational analysis of solitary waves in a homogeneous cubic-quintic nonlinear medium, Journal of Modern Optics, 48, 1179, 10.1080/09500340108231762 Triki, 2010, Soliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law, International Journal of Computer Mathematics, 87, 1178, 10.1080/00207160903229907 Kohl, 2009, Optical solitons by He's variational principle in a non-Kerr law media, Journal of Infrared, Millimeter and Terahertz Waves, 30, 526, 10.1007/s10762-009-9467-9