Soliton solutions, Darboux transformation of the variable coefficient nonlocal Fokas–Lenells equation

Zhang, Xi; Wang, Yu-Feng; Yang, Sheng-Xiong

doi:10.1007/s11071-023-09192-1

Nonlinear Dyn

2023

DOI: 10.1007/s11071-023-09192-1

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Soliton solutions, Darboux transformation of the variable coefficient nonlocal Fokas–Lenells equation

Xi Zhang,

Yu-Feng Wang,

Sheng-Xiong Yang

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Cited by 2 publications

References 59 publications

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On the reduction and solution of the reverse space-time nonlocal Fokas–Lenells equation

Al-Ramadhani

2025

Partial Differential Equations in Applied Mathematics

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On the reduction and solution of the reverse space-time nonlocal Fokas–Lenells equation

Al-Ramadhani

2025

Partial Differential Equations in Applied Mathematics

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Breathers, rogue waves, and interaction solutions for the variable coefficient Kundu-nonlinear Schrödinger equation

Zhang,

Wang,

Yang

2024

Physics of Fluids

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With the inhomogeneity of optical fiber media taken into account, under investigation in this paper is the variable coefficient Kundu-nonlinear Schrödinger equation, which describes the pulses propagation in optical fibers. Based on Lax pair, the Nth-order Darboux transformation is constructed. Depending on plane wave solution, the first- and second-order breather solutions are derived and the interactions between breathers are graphically analyzed. The Kuznetsov–Ma breather, Akhmediev breather, and spatial-temporal breather have been obtained. Moreover, the first-, second-, and third-order rogue wave solutions have been constructed. The usual rogue waves and first- and second-order line rogue waves are observed. The weak and strong interactions between the first-, second-order rogue waves, and spatial-temporal period breather are studied. Furthermore, variable coefficient δ(t) causes rogue waves to produce some interesting evolutionary phenomena, which have been systematically analyzed. In addition, the influences of parameters for the properties of solutions are discussed.

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Soliton solutions, Darboux transformation of the variable coefficient nonlocal Fokas–Lenells equation

Cited by 2 publications

References 59 publications

On the reduction and solution of the reverse space-time nonlocal Fokas–Lenells equation

On the reduction and solution of the reverse space-time nonlocal Fokas–Lenells equation

Breathers, rogue waves, and interaction solutions for the variable coefficient Kundu-nonlinear Schrödinger equation

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