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Binary Darboux Transformation, Solitons and Periodic Waves for a Nonlocal Lakshmanan-Porsezian-Daniel Equation
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In this paper, a nonlocal Lakshmanan-Porsezian-Daniel equation is investigated with the help of the binary Darboux transformation (DT) method and asymptotic analysis. We derive the formulas of the Nth-order solutions through the binary DT, where N is a positive integer. Under certain conditions, the first-order periodic wave and soliton solutions are obtained, e.g., degenerate solitons, dark-dark solitons, bright-bright solitons and dark-bright solitons. Interactions between/among the dark solitons, bright solitons and periodic wave are discussed and graphically illustrated.
Title: Binary Darboux Transformation, Solitons and Periodic Waves for a Nonlocal Lakshmanan-Porsezian-Daniel Equation
Description:
In this paper, a nonlocal Lakshmanan-Porsezian-Daniel equation is investigated with the help of the binary Darboux transformation (DT) method and asymptotic analysis.
We derive the formulas of the Nth-order solutions through the binary DT, where N is a positive integer.
Under certain conditions, the first-order periodic wave and soliton solutions are obtained, e.
g.
, degenerate solitons, dark-dark solitons, bright-bright solitons and dark-bright solitons.
Interactions between/among the dark solitons, bright solitons and periodic wave are discussed and graphically illustrated.
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