Optical soliton perturbation with spatio-temporal dispersion having Kerr law nonlinearity by the variational iteration method
DOI:
https://doi.org/10.31349/RevMexFis.66.404Keywords:
Nonlinear Schrödinger equation, Kerr law nonlinearity, Variational iteration method, Optical solitons solutions, Perturbation.Abstract
This paper studies optical soliton perturbation that appears with Kerr law nonlinearity having spatio-temporal dispersion. The numerical scheme adopted is the variational iteration method. The perturbation terms are of Hamiltonian type and stem from inter-modal dispersion, self-steepening and nonlinear dispersion. Both bright and dark solitons are taken into consideration.References
W. Yu, Q. Zhou, M. Mirzazadeh, W. Liu, Anjan Biswas, Phase shift, amplification, oscillation and attenuation of solitons in nonlinear optics, Journal of Advanced Research, 15 (2019) 69-76.
A. M. Wazwaz, A variety of optical solitons for nonlinear Schrödinger equation with detuning term by the variational iteration method, Optik, 196 (2019) 163169.
A. M. Wazwaz, S. A. El-Tantawy, Optical Gaussons for nonlinear logarithmic Schrödinger equations via the variational iteration method, Optik, 180 (2019) 414-418.
A. M. Wazwaz, L. Kaur, Optical solitons and Peregrine solitons for nonlinear Schrödinger equation by variational iteration method, Optik, 179 (2019) 804-809.
M. Savescu, K.R. Khan, R.W. Kohl, L. Moraru, A. Yildirim, A. Biswas, Optical soliton perturbation with improved nonlinear Schrödinger's equation in nanofibers, J. Nanoelectron. Optoelectron. 8 (2) (2013) 208-220.
R. Kohl, D. Milovic, E. Zerrad, and A. Biswas, Optical soliton perturbationin a non-Kerr law media. Opt. Laser Technol. 40, 647-662 (2008).
J.H. He, Variational iteration method -a kind of non-linear analytical
technique: Some examples, Internat. J. Non-linear Mech. 34(1999), 699-708.
J.H. He, X.H. Wu, Construction of solitary solution and compacton like solution by variational iteration method, Chaos, Solitons & Fractals, 29(1), (2006), 108-113.
S. Momani, S. Abuasad, Application of He's variational iteration method to Helmholtz equation, Chaos Solitons & Fractals, 27(5), (2006), 1119-1123.
A.M. Wazwaz, The variational iteration method for rational solutions for KdV, Burgers and cubic Boussinesq, J. Comput. Appl. Math. 1 (2007) 18–23.
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