Dark solitons on elliptic function background for the defocusing Hirota equation  

作　　者：Xin Wang Jingsong He 

机构地区：[1]School of Mathematics and Information Science,Zhongyuan University of Technology,Zhengzhou,450007,China [2]Institute for Advanced Study,Shenzhen University,Shenzhen,518060,Guangdong,China

出　　处：《Communications in Theoretical Physics》2025年第3期21-36,共16页理论物理通讯(英文版)

基　　金：supported by the National Natural Science Foundation of China(Grant No.12326304,12326305,12071304);the Shenzhen Natural Science Fund(the Stable Support Plan Program)(Grant No.20220809163103001);the Natural Science Foundation of Henan Province(Grant No.232300420119);the Excellent Science and Technology Innovation Talent Support Program of ZUT(Grant No.K2023YXRC06);Funding for the Enhancement Program of Advantageous Discipline Strength of ZUT(2022)。

摘　　要：We investigate dark solitons lying on elliptic function background in the defocusing Hirota equation with third-order dispersion and self-steepening terms.By means of the modified squared wavefunction method,we obtain the Jacobi's elliptic solution of the defocusing Hirota equation,and solve the related linear matrix eigenvalue problem on elliptic function background.The elliptic N-dark soliton solution in terms of theta functions is constructed by the Darboux transformation and limit technique.The asymptotic dynamical behaviors for the elliptic N-dark soliton solution as t→±∞are studied.Through numerical plots of the elliptic one-,two-and three-dark solitons,the amplification effect on the velocity of elliptic dark solitons,and the compression effect on the soliton spatiotemporal distributions produced by the third-order dispersion and self-steepening terms are discussed.

关 键 词：darboux transformation dark soliton elliptic functions theta functions defocusing hirota equation 

分 类 号：O17[理学—数学]