首页|An integrable generalization of the Fokas-Lenells equation:Darboux transformation,reduction and explicit soliton solutions

An integrable generalization of the Fokas-Lenells equation:Darboux transformation,reduction and explicit soliton solutions

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Under investigation is an integrable generalization of the Fokas-Lenells equation,which can be derived from the neg-ative power flow of a 2 × 2 matrix spectral problem with three potentials.Based on the gauge transformation of the matrix spectral problem,one kind of Darboux transformation with multi-parameters for the three-component coupled Fokas-Lenells system is constructed.As a reduction,the N-fold Darboux transformation for the generalized Fokas-Lenells equa-tion is obtained,from which the N-soliton solution in a compact Vandermonde-like determinant form is given.Particularly,the explicit one-and two-soliton solutions are presented and their dynamical behaviors are shown graphically.

Darboux transformationsoliton solutionsgeneralized Fokas-Lenells equation

魏姣、耿献国、王鑫

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School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China

School of Mathematics and Information Science,Zhongyuan University of Technology,Zhengzhou 450007,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaExcellent Youth Science Fund Project of Henan ProvinceNatural Science Foundation of Henan ProvinceExcellent Science and Technology Innovation Talent Support Program of ZUTFunding for the Enhancement Program of Advantageous Discipline Strength of ZUT(2022)

123263051193101712271490242300421158232300420119K2023YXRC06

2024

10.1088/1674-1056/ad4633

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子：0.995
ISSN：1674-1056
年,卷(期)：2024.33(7)
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