Optical solitons for modulated compressional dispersive alfven and heisenberg ferromagnetic spin chains

Abstract

In this paper, we obtain bright and dark solitons for a couple of nonlinear Schrödinger’s equations (NLSEs). First is the nonlinear spin dynamics of Heisenberg ferromagnetic spin chains (HFSC) in (2+1)-dimensions and secondly the dynamics of modulated compressional dispersive Alfven (CDA) envelop in (1+1)-dimensions. We obtain the bright solitons by using sin-cosine method (SCM) and dark soliton with the help of Bernoulli’s equation approach (BEA). At the end, we present some graphical representation of our solutions. Keywords: Nonlinear Schrödinger’s equation, Optical solitons, Integrability