Backlund transformation,infinite number of conservation laws and fission properties of an integro-differential model for ocean internal solitary waves

作     者：Di Yu Zong-Guo Zhang Huan-He Dong Hong-Wei Yang Di Yu;Zong-Guo Zhang;Huan-He Dong;Hong-Wei Yang

作者机构：College of Mathematics and System ScienceShandong University of Science and TechnologyQingdao 266590China School of Mathematics and StatisticsQilu University of Technology(Shandong Academy of Sciences)Jinan250353China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2021年第73卷第3期

页      面：36-42页

核心收录：

学科分类：07[理学] 0707[理学-海洋科学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.11975143) the Nature Science Foundation of Shandong Province of China(Grant No.ZR2018MA017) the Taishan Scholars Program of Shandong Province,China(Grant No.ts20190936) the Shandong University of Science and Technology Research Fund,China(Grant No.2015TDJH102) 

主　　题：infinite conservation laws the integro-differential equation internal solitary waves fission properties of waves 

摘      要：This paper presents an analytical investigation of the propagation of internal solitary waves in the ocean of finite *** the multi-scale analysis and reduced perturbation methods,the integro-differential equation is derived,which is called the intermediate long wave(ILW)equation and can describe the amplitude of internal solitary *** can reduce to the Benjamin-Ono equation in the deep-water limit,and to the KdV equation in the shallow-water *** attention has been paid to the features of integro-differential equations,especially for their conservation ***,based on Hirota bilinear method,Backlund transformations in bilinear form of ILW equation are derived and infinite number of conservation laws are ***,we analyze the fission phenomenon of internal solitary waves theoretically and verify it through numerical *** of these have potential value for the further research on ocean internal solitary waves.