Quasi-stationary optical solitons in non-Kerr law media with full nonlinearity

Journal of Nonlinear Optical Physics and Materials

Volumn 20, Issue 3, 2011, Pages 309-325

  Biswas, Anjan ^a   Topkara, Engin ^a   Johnson, Stephen ^a   Zerrad, Essaid ^a   Konar, Swapan ^b  

^a DELAWARE STATE UNIVERSITY   (United States)

^b BIRLA INSTITUTE OF TECHNOLOGY   (India)

Author keywords

full nonlinearity; OCIS Codes: 060.2310; OCIS Codes: 060.4510; OCIS Codes: 060.5530; OCIS Codes: 190.3270; OCIS Codes: 190.4370; Optical solitons; perturbation

Indexed keywords

EID: 84857036263     PISSN: 02188635     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218863511006108     Document Type: Article

References (25)

1. M. G. Banaee and J. F. Young, High-order soliton breakup and soliton self-frequency shifts in a microstructured optical fiber, Journal of Optical Society of America B 23(7) (2006) 1484-1489.
2. A. Biswas and S. Konar, Introduction to Non-Kerr Law Optical Solitons (CRC Press, Boca Raton, FL. USA, 2006).
3. A. Biswas, Quasi-stationary non-Kerr law optical solitons, Optical Fiber Technology 9(4) (2003) 224-259.
4. A. Biswas, Optical solitons: Quasi-stationarity versus Lie transform, Optical and Quantum Electronics 35(10) (2003) 979-998.
5. A. Biswas and D. Milovic, Optical solitons with log law nonlinearity, Communications in Nonlinear Science and Numerical Simulation 15(12) (2010) 3763-3767.
6. A. Biswas and C. M. Khalique, Optical quasi-solitons by Lie symmetry analysis, to appear in Journal of King Saud University-Science.
7. A. Biswas, M. Fessak, S. Johnson, S. Beatrice, D. Milovic, Z. Jovanoski, R. Kohl and F. Majid, Optical soliton perturbation in non-Kerr law media: Traveling wave solution, Optics and Laser Technology 44(1) (2012) 263-268.
8. P. Green and A. Biswas, Bright and dark optical solitons with time-dependent coefficients in a non-Kerr law media, Communications in Nonlinear Science and Numerical Simulation 15(12) (2010) 3865-3873.
9. Z. Jovanoski and D. R. Rowland, Variational analysis of solitary waves in a homogeneous cubic-quintic nonlinear medium, Journal of Modern Optics 48(7) (2001) 1179-1193.
10. C. M. Khalique and A. Biswas, A Lie symmetry approach to nonlinear Schrödinger's equation with non-Kerr law nonlinearity, Communications in Nonlinear Science and Numerical Simulation 14(12) (2009) 4033-4040.
11. C. M. Khalique and A. Biswas, Gaussian soliton solution to nonlinear Schrödinger's equation with log-law nonlinearity, International Journal of Physical Sciences 5(3) (2010) 280-282.
12. R. Kohl, A. Biswas, D. Milovic and E. Zerrad, Optical soliton perturbation in a non- Kerr law media, Optics and Laser Technology 40(4) (2008) 647-662.
13. S. Konar, S. Shekhar and W.-P. Hong, Incoherently coupled two component screening photovoltaic solitons in two-photon photorefractive materials under the action of external field, Optics and Laser Technology 42(8) (2010) 1294-1300.
14. S. Konar, S. Shekhar and S. Shwetanshumala, External electric field induced modulational instability of an electromagnetic beam in two-photon photorefractive materials, Optics and Laser Technology 42(8) (2010) 1276-1281.
15. R. V. J. Raja and K. Porsezian, A fully vectorial effective index method to analyse the propagation properties of microstructured fiber, Photonics and Nanostructures 5(4) (2007) 171-177.
16. R. V. J. Raja, K. Porsezian, S. V. Varshney and S. Sivabalan, Modeling photonic crystal fiber for efficient soliton pulse propagation at 850 nm, Optics Communications 283(24) (2010) 5000-5006.
17. P. Seenuvasakumaran, A. Mahalingam and K. Porsezian, Dark solitons in N-coupled higher order nonlinear Schrödinger equations, Communications in Nonlinear Science and Numerical Simulation 13(7) (2008) 1318-1328.
18. S. Shwetanshumala, Temporal solitons of modified complex Ginzburg-Landau Equation, Progress in Electromagnetics Research Letters 3 (2008) 17-24.
19. S. Shwetanshumala, Temporal solitons in nonlinear media modeled by modified complex Ginzburg Landau equation under collective variable approach, International Journal of Theoretical Physics 48(4) (2009) 1122-1131.
20. E. Topkara, D. Milovic, A. K. Sarma, F. Majid and A. Biswas, A study of optical solitons with Kerr and power law nonlinearities by He's variational principle, Journal of European Optical Society 4 (2009) 09050.
21. E. Topkara, D. Milovic, A. K. Sarma, E. Zerrad and A. Biswas, Optical solitons with non-Kerr law nonlinearity and inter-modal dispersion and time-dependent coefficients, Communications in Nonlinear Science and Numerical Simulation 15(9) (2010) 2320-2330.
22. E. Topkara, D. Milovic, A. K. Sarma, E. Zerrad and A. Biswas, Optical soliton perturbation with full nonlinearity in non-Kerr law media, Journal of Optical Fiber Communications Research 7(1-4) (2010) 43-59.
23. A.-M. Wazwaz, Exact solutions for the fourth order nonlinear Schrödinger's equation with cubic and power law nonlinearities, Mathematical and Computer Modelling 43(7-8) (2006) 802-808.
24. A.-M. Wazwaz, Reliable analysis for nonlinear Schrödinger equation with a cubic nonlinearity and a power law nonlinearity, Mathematical and Computer Modelling 43(1-2) (2006) 178-184.
25. A.-M. Wazwaz, A study on linear and nonlinear Schrödinger equations by the variational iteration method, Chaos, Solitons and Fractals 37(4) (2008) 1136-1142.