Optical soliton solutions for the integrable Lakshmanan-Porsezian-Daniel equation via the inverse scattering transformation method with applications

Faculty Engineering Year: 2023
Type of Publication: ZU Hosted Pages:
Authors:
Samah Mohamed Mabrouk
Journal: Optik Elsevier Volume:
Keywords : Optical soliton solutions , , integrable Lakshmanan-Porsezian-Daniel equation    
Abstract:
The Lakshmanan-Porsezian-Daniel equation (LPD) is a nonlinear Schrödinger type (NLS) equation which describe the effect on the integrable properties of Heisenberg bilinear spin chains under the classical limit by the biquadratic interactions. In this paper, the integrability of LPD equation is illustrated by obtaining the Lax pair via the AKNS scheme. The exact soliton solutions via the inverse scattering transformation (IST) method are obtained and illustrated in 3D graphical representation.
    
     
 
       

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