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
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.
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