文献类型：期刊文献

中文题名：Consistent Riccati expansion solvability,symmetries,and analytic solutions of a forced variable-coefficient extended Korteveg-de Vries equation in fluid dynamics of internal solitary waves

英文题名：Consistent Riccati expansion solvability, symmetries, and analytic solutions of a forced variable-coefficient extended Korteveg-de Vries equation in fluid dynamics of internal solitary waves*

作者：Liu, Ping[1];Huang, Bing[2];Ren, Bo[3];Yang, Jian-Rong[4]

机构：[1]Univ Elect Sci & Technol, China Zhongshan Inst, Sch Elect & Informat Engn, Zhongshan 528402, Peoples R China;[2]Univ Elect Sci & Technol China, Sch Phys, Chengdu 610054, Peoples R China;[3]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[4]Shangrao Normal Univ, Sch Phys & Elect Informat, Shangrao 334001, Peoples R China

年份：2021

卷号：30

期号：8

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：CSTPCD、、CSCD2021_2022、Scopus、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11775047, 11775146, and 11865013).

语种：英文

中文关键词：forced variable-coefficient extended KdV equation;consistent Riccati expansion;analytic solution;interaction wave solution

外文关键词：forced variable-coefficient extended KdV equation; consistent Riccati expansion; analytic solution; interaction wave solution

中文摘要：We study a forced variable-coefficient extended Korteweg-de Vries(KdV)equation in fluid dynamics with respect to internal solitary wave.B?cklund transformations of the forced variable-coefficient extended KdV equation are demonstrated with the help of truncated Painlevéexpansion.When the variable coefficients are time-periodic,the wave function evolves periodically over time.Symmetry calculation shows that the forced variable-coefficient extended KdV equation is invariant under the Galilean transformations and the scaling transformations.One-parameter group transformations and one-parameter subgroup invariant solutions are presented.Cnoidal wave solutions and solitary wave solutions of the forced variable-coefficient extended KdV equation are obtained by means of function expansion method.The consistent Riccati expansion(CRE)solvability of the forced variable-coefficient extended KdV equation is proved by means of CRE.Interaction phenomenon between cnoidal waves and solitary waves can be observed.Besides,the interaction waveform changes with the parameters.When the variable parameters are functions of time,the interaction waveform will be not regular and smooth.

外文摘要：We study a forced variable-coefficient extended Korteweg-de Vries (KdV) equation in fluid dynamics with respect to internal solitary wave. Backlund transformations of the forced variable-coefficient extended KdV equation are demonstrated with the help of truncated Painleve expansion. When the variable coefficients are time-periodic, the wave function evolves periodically over time. Symmetry calculation shows that the forced variable-coefficient extended KdV equation is invariant under the Galilean transformations and the scaling transformations. One-parameter group transformations and one-parameter subgroup invariant solutions are presented. Cnoidal wave solutions and solitary wave solutions of the forced variable-coefficient extended KdV equation are obtained by means of function expansion method. The consistent Riccati expansion (CRE) solvability of the forced variable-coefficient extended KdV equation is proved by means of CRE. Interaction phenomenon between cnoidal waves and solitary waves can be observed. Besides, the interaction waveform changes with the parameters. When the variable parameters are functions of time, the interaction waveform will be not regular and smooth.