Riemann-Hilbert approach of the complex Sharma-Tasso-Olver equation and its N-soliton solutions  

作　　者：李莎 夏铁成 魏含玉 Sha Li;Tiecheng Xia;Hanyu Wei(Department of Mathematics,Shanghai University,Shanghai 200444,China;College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China)

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,China [2]College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China

出　　处：《Chinese Physics B》2023年第4期130-134,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11975145);the Program for Science&Technology Innovation Talents in Universities of Henan Province,China(Grant No.22HASTIT019);the Natural Science Foundation of Henan,China(Grant No.202300410524);the Science and Technique Project of Henan,China(Grant No.212102310397);the Academic Degrees&Graduate Education Reform Project of Henan Province,China(Grant No.2021SJGLX219Y)。

摘　　要：We study the complex Sharma-Tasso-Olver equation using the Riemann-Hilbert approach.The associated Riemann-Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem of the Lax pair.Subsequently,in the case that the Riemann-Hilbert problem is irregular,the N-soliton solutions of the equation can be deduced.In addition,the three-dimensional graphic of the soliton solutions and wave propagation image are graphically depicted and further discussed.

关 键 词：complex Sharma-Tasso-Olver equation Riemann-Hilbert problem spectral problem soliton solutions 

分 类 号：O177.1[理学—数学]