Darboux transformations and exact solutions for the integrable nonlocal LakshmananPorsezianDaniel equation

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Abstract

In this letter we propose the localized wave solutions of the nonlocal integrable LakshmananPorsezianDaniel equation in the matrix form by the Darboux transformations. With N=1, a concise nonsingular solution is given by trigonometric function, from which the rational solution can be obtained by limit process. The density evolutions of the soliton and rational solutions are given under different parameters to study their wave structures and dynamic properties.

Keywords

Nonlocal LakshmananPorsezianDaniel equation
Lax pair
Darboux transformation
Rational solution

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