文献类型：期刊文献

英文题名：CTE Solvability, Nonlocal Symmetry, and Interaction Solutions of Coupled Integrable Dispersionless System

作者：Yu, Jun[1];Ren, Bo[2];Liu, Ping[3];Zhou, Jia-Li[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Univ Technol, Dept Math, Hangzhou 310014, Peoples R China;[3]Univ Elect Sci & Technol China, Coll Elect & Informat Engn, Zhongshan Inst, Zhongshan 528402, Peoples R China

年份：2022

卷号：2022

外文期刊名：COMPLEXITY

收录：SCI-EXPANDED(收录号：WOS:000879220800001)、、EI(收录号：20224112858854)、Scopus(收录号：2-s2.0-85139369005)、WOS

基金：(is work was supported by the National Natural Science Foundation of China under Grant (Nos. 11975156 and 11775146) and Key Research and Development Program of Zhejiang Province under Grant (Nos. 2022C01178 and 2022C01193).

语种：英文

外文关键词：Initial value problems

外文摘要：The consistent tanh expansion (CTE) method is successfully applied to the coupled integrable dispersionless (CID) system. A nonauto-Backlund transformation (BT) theorem includes two fields f and v(1) is obtained by using the CTE method. One obtains the consistent condition in the nonauto-BT theorem by means of the relation between the fields f and v(1). The CID system possesses the CTE solvability property by some detailed analysis. Many interactions between one soliton and multiple resonant solitons, and between one soliton and cnoidal waves are generated by using the nonauto-BT theorem. The types of bright and gray two front waves are shown by some figures. In the meanwhile, the nonlocal symmetry is obtained by the truncated Painleve method and the Mobious invariant form. The initial value problem and an auto-BT are constructed by the localization procedure.