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Optical solitons for non-Kerr law nonlinear Schrödinger equation with third and fourth order dispersions

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Abstract In this paper, we obtain optical soliton solutions for non-Kerr law nonlinear Schrodinger equation (NLSE) with third order (3OD) and fourth order dispersions (4OD). We will use two integration… Click to show full abstract

Abstract In this paper, we obtain optical soliton solutions for non-Kerr law nonlinear Schrodinger equation (NLSE) with third order (3OD) and fourth order dispersions (4OD). We will use two integration schemes, namely sin-cosine method and Bernoulli’s equation approach with five laws of nonlinearities. Sine-cosine method is applicable to Kerr, power and anti-cubic laws, this method provides bright soliton solutions. The second method is applicable to parabolic and cubic quintic laws, this method generates dark soliton. The results may be used in discussing the propagation of optical solitons in highly dispersive media with Kerr, power, anti-cubic, parabolic and cubic quintic law nonlinearities.

Keywords: law; order; law nonlinear; equation; non kerr; kerr law

Journal Title: Chinese Journal of Physics
Year Published: 2019

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