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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
العودة
معلومات البحث
المؤلفون Mahmoud A. Khattab; Moahmed R. Ali; Samah M. Mabrouk
الكلمات المفتاحية Inverse Scattering Transformation; Lakshmanan-Porsezian-Daniel equation (LPD); Solitons; Lax pair
المجلة العلمية Optik - International Journal for Light and Electron Optics
الناشر Urban & Fischer
المجلد 272
العدد Not Available
الصفحات 170256
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
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.