Optical soliton perturbation in a log-law medium with full nonlinearity by He's semi-inverse variational principle

Inverse Problems in Science and Engineering

Volumn 20, Issue 2, 2012, Pages 227-232

  Biswas, Anjan ^a   Milovic, Daniela ^b   Kohl, Russell ^c,d  

^a DELAWARE STATE UNIVERSITY   (United States)

^b UNIVERSITY OF NI   (Serbia)

^c ALABAMA A AND M UNIVERSITY   (United States)

^d UNIVERSITY OF MARYLAND EASTERN SHORE   (United States)

Author keywords

integrability; inverse variational principle; Lambert's function; numerics; solitons

Indexed keywords

INTEGRABILITY; INVERSE VARIATIONAL PRINCIPLE; LOG-LAWS; NON-LINEARITY; NUMERICS; OPTICAL SOLITON; SELF-STEEPENING; VARIATIONAL PRINCIPLES;

DISPERSIONS; SOLITONS;

VARIATIONAL TECHNIQUES;

EID: 84859493595     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415977.2011.603088     Document Type: Article

References (15)

1. Biswas, A. 2009. Temporal 1-soliton solution of the complex Ginzburg-Landau equation with power law non-linearity. Prog. Electromagnetics Res., 96(1-7)
2. Biswas, A and Milovic, D. 2010. Optical solitons with log law non-linearity. Commun. Nonlinear Sci. Numer. Simulation, 15(12): 3763-3767.
3. Biswas, A, Watson, JE Jr, Cleary, C and Milovic, D. 2010. Optical solitons with higher order dispersion in a log law media. J. Infrared, Millimeter Terahertz Waves, 31(9): 1048-1056.
4. Biswas, A, Milovic, D and Zerrad, E. 2010. Optical soliton perturbation with log law non-linearity by He's semi-inverse variational principle. Opt. Photonics Lett., 3(1): 1-5.
5. Biswas, A and Wheeler, D. 2010. Optical solitons with bandwidth limited amplification in a non-Kerr law media. Opt. Appl., 40(4): 801-809.
6. Green, PD, Milovic, D, Lott, DA and Biswas, A. 2010. Optical solitons with higher order dispersion by semi-inverse variational principle. Progr. Electromagnetics Res., 102: 337-350.
7. He, JH. 1999. Variational iteration method- a kind of non-linear analytical technique: some examples. Int. J. Nonlinear Mech., 34(4): 699-708.
8. He, JH. 2006. Some asymptotic methods for strongly non-linear equations. Int. J. Modern Phys. B, 20(10): 1141-1199.
9. Khalique, CM and Biswas, A. 2010. Gaussian soliton solution to the non-linear Schrödinger's equation with log-law non-linearity. Int. J. Phys. Sci., 5(3): 280-282.
10. Kohl, R, Biswas, A, Milovic, D and Zerrad, E. 2009. Optical solitons by He's variational principle in a non-Kerr law media. J. Infrared, Millimeter Terrahertz Waves, 30(5): 526-537.
11. Ozis, T and Yidirim, A. 2007. Application of He's semi-inverse method to the non-linear Schrodinger equation. Comp. Math. Appl., 54(7-8): 1039-1042.
12. Shwetanshumala, S. 2008. Temporal solitons of modified complex Ginzburg-Landau Equation. Prog. Electromagnetics Res. Lett., 3: 17-24.
13. Topkara, E, Milovic, D, Sarma, AK, Majid, F and Biswas, A. 2009. A study of optical solitons with Kerr and power law non-linearities by He's variational principle. J. Eur. Opt. Soc., 4(09050)
14. Wazwaz, AM. 2008. A study on linear and non-linear Schrödinger equations by the variational iteration method. Chaos, Solitons and Fractals, 37(4): 1136-1142.
15. Zheng, GB, Liu, B, Wang, ZJ and Zheng, SK. 2009. Generalized variational principle for electromagnetic field with magnetic monopoles by He's semi-inverse method. Int. J. Nonlinear Sci. Numer. Simulations, 10(11-12): 1369-1372.