非局域反时空高阶非线性薛定谔方程的达布变换及其精确解

Abstract

Abstract:

Under investigation in this paper is the nonlocal reverse space-time higher-order nonlinear Schrödinger (HNLS) equation which can be derived from the Ablowitz-Kaup-Newell-Segur linear scattering problem. The Darboux transformation is provided in the form of determinants. By applying the Darboux transformation, we arrive at exact solutions of the nonlocal reverse space-time HNLS equation, including soliton, complextion and rogue wave solutions. Finally, the dynamical behaviors of solutions are elucidated graphically. These results could be used to understand related physical phenomena in nonlinear optics and relevant fields.

Key words: the nonlocal reverse space-time higher-order nonlinear Schröodinger equation, Darboux transformation, soliton, complexiton solution, Rogue wave

CLC Number:

O175.24

Lu Gaojie, Han Zhong, Liu Lu. Darboux Transformation and Exact Solutions of the Nonlocal Reverse Space-Time Higher-Order Nonlinear Schrödinger Equation[J].Acta mathematica scientia,Series A, 2025, 45(3): 767-775.

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Darboux Transformation and Exact Solutions of the Nonlocal Reverse Space-Time Higher-Order Nonlinear Schrödinger Equation

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