New Soliton Solutions for Fractional Spatio–Temporal Lakshmanan–Porsezian–Daniel Equation with Parabolic Law of Nonlinearity
2023 International Conference on Fractional Differentiation and Its Applications (ICFDA)(2023)
摘要
The paper deals with the fractional spatio-temporal Lakshmanan-Porsezian-Daniel equation, where the nonlinearity terms consider in parabolic law. The governing model is reduced to an integer-order ordinary differential equation via a complex traveling wave transformation. We analyze the dynamic behavior and the gained phase portrait to ensure the existence of traveling wave solutions for the proposed model. A bright soliton solution for the fractional spatiotemporal Lakshmanan-Porsezian-Daniel equation will be constructed. In addition, kink soliton solution is also will obtained. We depicted the established solutions, in 2 and 3-dimensions, to understand their characteristics of naturality.
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关键词
Solitons,Fractional Lakshmanan-Porsezian Daniel model,Parabolic law,The truncated M-fractional derivative
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