文献类型：期刊文献

英文题名：Soliton molecules, nonlocal symmetry and CRE method of the KdV equation with higher-order corrections

作者：Ren, Bo[1];Lin, Ji[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

年份：2020

卷号：95

期号：7

外文期刊名：PHYSICA SCRIPTA

收录：SCI-EXPANDED(收录号：WOS:000536267300001)、、EI(收录号：20202208770570)、Scopus(收录号：2-s2.0-85085570530)、WOS

基金：This work is supported by the National Natural Science Foundation of China Nos. 11 775 146, 11 975 156 and 11 835 011. The authors are in debt to thank Dr. Xin-Wei Jin for his help to offer the numerical simulation on the stability of the soliton molecule.

语种：英文

外文关键词：KdV equation with higher-order corrections; soliton molecule; nonlocal symmetry; CRE method

外文摘要：The soliton molecules of the Korteweg-de Vries (KdV) equation with higher-order corrections are studied by using the velocity resonance mechanism and the multi-soliton solution. The interaction between a soliton molecule and one-soliton of the KdV equation with higher-order corrections is elastic by means of analytical and graphical ways. The nonlocal symmetry of the KdV equation with higher-order corrections is derived by the truncate Painleve analysis. An nonauto-Backlund theorem is established by solving the initial value problem of the Lie's first principle of the nonlocal symmetry. In the meanwhile, the KdV equation with higher-order corrections is proved to be a consistent Riccati expansion (CRE) solvable system by exploiting the CRE method.