On Sawada-Kotera and Kaup-Kuperschmidt integrable systems  

作　　者：Metin Gürses Aslı Pekcan 

机构地区：[1]Department of Mathematics,Faculty of Science Bilkent University,06800 Ankara,Turkey [2]Department of Mathematics,Faculty of Science Hacettepe University,06800 Ankara,Turkey

出　　处：《Communications in Theoretical Physics》2025年第2期21-29,共9页理论物理通讯(英文版)

基　　金：partially supported by the Scientific and Technological Research Council of Turkey(TüBITAK)。

摘　　要：To obtain new integrable nonlinear differential equations there are some well-known methods such as Lax equations with different Lax representations.There are also some other methods that are based on integrable scalar nonlinear partial differential equations.We show that some systems of integrable equations published recently are the M_(2)-extension of integrable such scalar equations.For illustration,we give Korteweg-de Vries,Kaup-Kupershmidt,and SawadaKotera equations as examples.By the use of such an extension of integrable scalar equations,we obtain some new integrable systems with recursion operators.We also give the soliton solutions of the systems and integrable standard nonlocal and shifted nonlocal reductions of these systems.

关 键 词：M_(2)-extension recursion operator nonlocal reductions Hirota bilinear form soliton solutions 

分 类 号：O17[理学—数学]