Optical solitons in a parabolic law media with fourth order dispersion

Applied Mathematics and Computation

Volumn 208, Issue 1, 2009, Pages 299-302

  Biswas, Anjan ^a   Milovic, Daniela ^b  

^a DELAWARE STATE UNIVERSITY   (United States)

^b UNIVERSITY OF NI   (Serbia)

Author keywords

Dispersion; Integrability; Parabolic law; Solitons

Indexed keywords

DISPERSION (WAVES); DISPERSIONS; LAWS AND LEGISLATION; NONLINEAR EQUATIONS; ULTRASHORT PULSES;

DISPERSION; FOURTH ORDER; INTEGRABILITY; NONLINEARITY (INCLUDING BIFURCATION THEORY); OPTICAL SOLITONS; PARABOLIC LAW; SOLITON SOLUTIONS;

SOLITONS;

EID: 58649111481     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.12.004     Document Type: Article

References (15)

1. Ablowitz M.J., and Segur H. Solitons and Inverse Scattering Transform (1981), SIAM, Philadelphia, PA, USA
2. Akhmediev N.N., Ankiewicz A., and Grimshaw R. Hamiltonian-versus-energy diagrams in soliton theory. Physical Review E 59 5 (1999) 6088-6096
3. Asif N., Shwetanshumala S., and Konar S. Photovoltaic spatial soliton pairs in two-photon photorefractive materials. Physics Letters A 372 5 (2008) 735-740
4. Biswas A., and Konar S. Introduction to Non-Kerr Law Optical Solitons (2006), CRC Press, Boca Raton, FL, USA
5. Busalev V.S., and Grikurov V.E. Simulation of instability of bright solitons for NLS with saturating nonlinearity. Mathematics and Computers in Simulation 56 6 (2001) 539-546
6. Jana S., and Konar S. A new family of Thirring type optical spatial solitons via electromagnetically induced transparency. Physics Letters A 362 5-6 (2007) 435-438
7. Jovanoski Z., and Rowland D.R. Variational analysis of solitary waves in a homogenous cubic-quintic nonlinear medium. Journal of Modern Optics 48 7 (2001) 1179-1193
8. Kohl R., Biswas A., Milovic D., and Zerrad E. Optical soliton perturbation in a non-Kerr law media. Optics and Laser Technology 40 4 (2008) 647-662
9. Lin C., Hong X.-R., and Dou F.-Q. Analytical studies of the steady solution for optical soliton equation with higher order dispersion and nonlinear effects. Communications in Nonlinear Science and Numerical Simulation 13 3 (2008) 567-574
10. Shwetanshumala S., Konar S., and Biswas A. Spatial optical solitons in inhomogenous elliptic core saturating nonlinear fiber. Optik 119 9 (2008) 403-408
11. Wazwaz A.M. Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity. Mathematical and Computer Modelling 43 1-2 (2006) 178-184
12. Wazwaz A.M. Exact solutions for the fourth order nonlinear Schrödinger equations with cubic and power law nonlinearities. Mathematical and Computer Modelling 43 7-8 (2006) 802-808
13. Wazwaz A.M. A study on linear and nonlinear Schrödinger equations by the variational iteration method. Chaos, Solitons & Fractals 37 4 (2008) 1136-1142
14. Zhidkov P.E. Korteweg-de Vries and Nonlinear Schrödinger's Equations: Qualitative Theory (2001), Springer Verlag, New York, NY
15. Zu D. The classical structure model of single photon and classical point of view with regard to wave-particle duality of photon. Progress in Electromagnetic Research Letters 1 (2008) 109-118