Stable propagation of optical solitons for nonlinear Schrödinger equation with dispersion and self phase modulation

Abstract In this paper, we study modulated compressional dispersive Alfven (MCDA) waves with group velocity dispersion (GVD) and self-phase modulation (SPM) for multiple soliton interaction using Hirota bilinear method (HBM). We have obtained one, two and three soliton solutions. By choosing λ 1 ( t ) , λ 2 ( t ) and λ 3 ( t ) as different functions and we have observed parabolic, bright, M -shaped and S -shaped anti dark solitons. The obtained results might be significant to study optical logic switches and ultrashort pulse lasers.

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