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Optical soliton solutions for the integrable Lakshmanan-Porsezian-Daniel Equation Via the inverse scattering transformation method with applications
Optik - International Journal for Light and Electron Optics • 2022
Publication Information
Authors
Mahmoud A. Khattab; Moahmed R. Ali; Samah M. Mabrouk
Keywords
Inverse Scattering Transformation; Lakshmanan-Porsezian-Daniel equation (LPD); Solitons; Lax pair
Journal
Optik - International Journal for Light and Electron Optics
Publisher
Urban & Fischer
Volume
272
Issue
Not Available
Pages
170256
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
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.