文献类型：期刊文献

英文题名：Soliton molecules and the CRE method in the extended mKdV equation

作者：Ren, Bo[1];Lin, Ji[2];Liu, Ping[3]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Peoples R China;[3]Univ Elect Sci & Technol China, Zhongshan Inst, Coll Electron & Informat Engn, Zhongshan 528402, Peoples R China

年份：2020

卷号：72

期号：5

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000530045600001)、、Scopus(收录号：2-s2.0-85085048591)、WOS

基金：This work is supported by the National Natural Science Foundation of China Grant Nos. 11775146, 11305106, 11975156, 11775047 and 11835011.

语种：英文

外文关键词：extended mKdV equation; soliton molecule; CRE method; nonlocal symmetry

外文摘要：The soliton molecules of the (1+1)-dimensional extended modified Korteweg-de Vries (mKdV) system are obtained by a new resonance condition, which is called velocity resonance. One soliton molecule and interaction between a soliton molecule and one-soliton are displayed by selecting suitable parameters. The soliton molecules including the bright and bright soliton, the dark and bright soliton, and the dark and dark soliton are exhibited in figures 1-3, respectively. Meanwhile, the nonlocal symmetry of the extended mKdV equation is derived by the truncated Painleve method. The consistent Riccati expansion (CRE) method is applied to the extended mKdV equation. It demonstrates that the extended mKdV equation is a CRE solvable system. A nonauto-Backlund theorem and interaction between one-soliton and cnoidal waves are generated by the CRE method.