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

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 illus...

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Bibliographic Details
Published inOptik (Stuttgart) Vol. 272; p. 170256
Main Authors Ali, Mohamed R., Khattab, Mahmoud A., Mabrouk, S.M.
Format Journal Article
LanguageEnglish
Published Elsevier GmbH 01.02.2023
Subjects
Inverse scattering transform (IST)
Lakshmanan-Porsezian-Daniel equation (LPD)
Soliton solutions
Inverse scattering transform (IST)
Lakshmanan-Porsezian-Daniel equation (LPD)
Soliton solutions
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Summary: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.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2022.170256