Analytical three-periodic solutions of Korteweg-de Vries-type equations  

作　　者：陈觅 王振 Mi Chen;Zhen Wang(School of Mathematical Science,Dalian University of Technology,Dalian 116024,China;School of Mathematical Science,Beihang University,Beijing 100191,China)

机构地区：[1]School of Mathematical Science,Dalian University of Technology,Dalian 116024,China [2]School of Mathematical Science,Beihang University,Beijing 100191,China

出　　处：《Chinese Physics B》2023年第9期229-236,共8页中国物理B（英文版）

基　　金：the National National Science Foundation of China(Grant Nos.52171251,U2106225,and 52231011);the Science and Technology Innovation Fund of Dalian City(Grant No.2022JJ12GX036)。

摘　　要：Based on the direct method of calculating the periodic wave solution proposed by Nakamura,we give an approximate analytical three-periodic solutions of Korteweg-de Vries(KdV)-type equations by perturbation method for the first time.Limit methods have been used to establish the asymptotic relationships between the three-periodic solution separately and another three solutions,the soliton solution,the one-and the two-periodic solutions.Furthermore,it is found that the asymptotic three-soliton solution presents the same repulsive phenomenon as the asymptotic three-soliton solution during the interaction.

关 键 词：Hirota bilinear method Riemann theta function three-periodic solution 

分 类 号：O175.29[理学—数学]