volume | PIER Journals

Abstract

In this paper we have reported soliton solution of one dimensional modified complex Ginzburg Landau equation. The parametric region where such soliton solution is possible is also identified.

1. Hasegawa, A., Plasma Instabilities and Nonlinear Effects, Springer Verlag, Berlin, 1975.

2. Mishra, M. and S. Konar, Journal of Electromagnetic Waves and Applications, Vol. 21, No. 14, 2049-2058, 2007.
doi:10.1163/156939307783152830 Google Scholar

3. Shwetanshumala, S., A. Biswas, and S. Konar, "Dynamically stable supergaussian solitons in semiconductor doped glass fibers," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 7, 901-912, 2006.
doi:10.1163/156939306776149888 Google Scholar

4. Biswas, A., S. Konar, and E. Zerrad, "Soliton-soliton interaction with parabolic law nonlinearity," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 7, 927-939, 2006.
doi:10.1163/156939306776149833 Google Scholar

5. Konar, S. and A. Biswas, "Soliton-soliton interaction with kerr law nonlinearity," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 11, 1443-1453, 2005.
doi:10.1163/156939305775701859 Google Scholar

6. Konar, S., S. Jana, and S. Shwetanshumala, "Incoherently coupled screening photovoltaic spatial solitons in a biased photovoltaic photo refractive crystals," Optics Communications, Vol. 273, 324-333, 2007.
doi:10.1016/j.optcom.2007.01.051 Google Scholar

7. Konar, S., M. Mishra, and S. Jana, "Nonlinear evolution of cosh-Gaussian laser beams and generations of flat top spatial solitons in cubic quintic nonlinear media ," Physics Letts. A, Vol. 362, 505-510, 2007.
doi:10.1016/j.physleta.2006.11.025 Google Scholar

8. Biswas, A., "Stochastic perturbation of parabolic law optical solutions," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 11, 1479-1488, 2007. Google Scholar

9. Mandal, B. and A. R. Chowdhury, "Spatial soliton scattering in a quasi phase matched quadratic media in presence of cubic nonlinearity," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 1, 123-135, 2007.
doi:10.1163/156939307779391704 Google Scholar

10. Crutcher, S., A. Biswas, M. D. Aggrawal, and M. E. Edwards, "Oscillatory behaviour of spatial solitons in two dimensional waveguides and stationary temporal power law solitons in optical fibers," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 6, 761-772, 2006.
doi:10.1163/156939306776143361 Google Scholar

11. Jana, S. and S. Konar, "Tunable spectral switching in the far field with a chirped cosh-gaussian pulse," Optics Communications, Vol. 267, 24-31, 2006.
doi:10.1016/j.optcom.2006.06.013 Google Scholar

12. Konar, S. and S. Jana, "Linear and nonlinear propagation of sinh-Gaussian pulses in dispersive media possessing Kerr nonlinearity," Optics Communication, Vol. 236, No. 1-3, 7-20, 2004.
doi:10.1016/j.optcom.2004.03.012 Google Scholar

13. Konar, S., J. Kumar, and P. K. Sen, "Suppression of soliton instability by higher order nonlinearity in long-haul optical communication systems," J. Nonlinear Optical Physics & Materials, Vol. 8, 492, 1999. Google Scholar

14. Konar, S. and A. Sengupta, "Propagation of an elliptic Gaussian laser beam in a medium with saturable nonlinearity," J. Opt. Soc. Am B, Vol. 11, 1644, USA, 1994.
doi:10.1364/JOSAB.11.001644 Google Scholar

15. Kaup, D. J. and A. C. Newell, "An exact solution for a derivative nonlinear Schrodinger equation," J. Math Phys., Vol. 19, 798, 1978.
doi:10.1063/1.523737 Google Scholar

16. Hirota, R., "Exact N soliton solution of the wave equation of long waves in shallow water and in nonlinear lattices," J. Math Phys., Vol. 14, 805, 1973.
doi:10.1063/1.1666399 Google Scholar

17. Anderson, D., "Variational approach to nonlinear pulse propagation in optical fibers," Phys. Rev. A, Vol. 27, 3135, 1983.
doi:10.1103/PhysRevA.27.3135 Google Scholar

18. Malomed, B., D. Anderson, M. Lisak, and M. L. Quiroga-Teixeiro, "Dynamics of solitary waves in the Zakharov model equations," Phy. Rev. E, Vol. 55, 962, 1997.
doi:10.1103/PhysRevE.55.962 Google Scholar

19. Dinda, P. T., A. B. Moubissi, and K. Nakkeeran, "Letter to the editor: A collective variable approach for dispersion managed solitons," J. Phys. A: Math. Gen., Vol. 34, L103, 2001.
doi:10.1088/0305-4470/34/10/104 Google Scholar

20. Biswas, A., "Dynamics of stochastic optical solitons," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 2, 145-152, 2004.
doi:10.1163/156939304323062004 Google Scholar

21. He, J. H., "Approximate analytical solution for seepage flow with fractional derivatives in porus media," Comput. Meth. Appl. Mech.Eng., Vol. 167, No. 12, 57, 1998.
doi:10.1016/S0045-7825(98)00108-X Google Scholar

22. Acunto, M. D., "Self excited systems: Analytical determination of limit cycles," Chaos, Solitons Fractals, Vol. 30, No. 3, 719, 2006.
doi:10.1016/j.chaos.2006.03.070 Google Scholar

23. Moores, J. D., "On the Ginzburg-Landau laser mode-locking model with fifth order saturable absorber term," Opt. Comm., Vol. 96, 65, 1993.
doi:10.1016/0030-4018(93)90524-9 Google Scholar

24. Akhmediev, N. N., V. V. Afanasjev, and J. M. Soto-Crespo, "Singularities and special soliton solutions of the cubic quintic complex Ginzburg Landau equation," Phys. Rev. E, Vol. 53, 1190, 1996.
doi:10.1103/PhysRevE.53.1190 Google Scholar

25. Akhmediev, N. N., J. M. Soto-Crespo, and A. Town, "Pulsating solitons, chaotic solitons, period doubling and pulse co-existence in mode-locked lasers: Complex Ginzburg Landau equation approach," Phys. Rev. E, Vol. 63, 056602, 2001.
doi:10.1103/PhysRevE.63.056602 Google Scholar

26. Yomba, E. and T. C. Kofane, "Exact solutions of the onedimensional modified complex Ginzburg Landau equation," Chaos, Solitons and Fractals, Vol. 15, 197, 2003. Google Scholar

27. Mohamddou, A., A. K. Jiotsa, and T. C. Kofane, "Pattern selection and modulation instability in the one dimensioal modified complex Ginzburg Landau equation," Chaos, Solitons and Fractals, Vol. 24, 957, 2005.
doi:10.1016/j.chaos.2004.09.106 Google Scholar

28. Hong, W. P., "Stable stationary solitons of the one dimensional modified complex Ginzburg Landau equation," Z. Naturforsch, Vol. 62a, 373, 2007. Google Scholar

29. Panajotovic, A., D. Milovic, and A. Biswas, "Influence of even order dispersion on soliton transmission quality with coherent interference," Progress In Electromagnetics Research B, Vol. 3, 63-72, 2008..
doi:10.2528/PIERB07120404 Google Scholar

30. Ballav, M. and A. R. Chowdhury, "On a study of diffraction and dispersion managed soliton in a cylindrical media," Progress In Electromagnetics Research, Vol. 63, 33-50, 2006.
doi:10.2528/PIER06051601 Google Scholar

31. Singh, S. P. and N. Singh, "Nonlinear effects in optical fibers: Origin, management and applications," Progress In Electromagnetics Research, Vol. 73, 249-275, 2007.
doi:10.2528/PIER07040201 Google Scholar

32. Singh, S. P., R. Gangwar, and N. Singh, "Nonlinear scattering effects in optical fibers," Progress In Electromagnetics Research, Vol. 74, 379-405, 2007.
doi:10.2528/PIER07051102 Google Scholar

33. Gangwar, R., S. P. Singh, and N. Singh, "Soliton based optical communication," Progress In Electromagnetics Research, Vol. 74, 157-166, 2007.
doi:10.2528/PIER07050401 Google Scholar

Dr. Sahay Shwetanshumala