文献类型：期刊文献

中文题名：Exact Solutions of Atmospheric(2+1)-Dimensional Nonlinear Incompressible Non-hydrostatic Boussinesq Equations

英文题名：Exact Solutions of Atmospheric (2+1)-Dimensional Nonlinear Incompressible Non-hydrostatic Boussinesq Equations

作者：Liu, Ping[1,2];Wang, Ya-Xiong[2];Ren, Bo[3];Li, Jin-Hua[4]

机构：[1]Univ Elect Sci & Technol China, Zhongshan Inst, Coll Electron & Informat Engn, Zhongshan 528402, Peoples R China;[2]Univ Elect Sci & Technol China, Sch Phys Elect, Chengdu 610054, Peoples R China;[3]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[4]Nanjing Univ Informat Sci & Technol, Sch Phys & Optoelect Engn, Nanjing, Jiangsu, Peoples R China

年份：2016

卷号：65

期号：12

起止页码：595

中文期刊名：理论物理通讯：英文版

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000391282600002)、CSTPCD、、CSCD2015_2016、Scopus、WOS、CSCD、PubMed

基金：Supported by the National Natural Science Foundation of China under Grant Nos. 11305031 and 11305106, and Training Programme Foundation for Outstanding Young Teachers in Higher Education Institutions of Guangdong Province under Grant No. Yq2013205

语种：英文

中文关键词：Boussinesq方程;不可压缩;精确解;非线性;大气;静水;膨胀系数;HB方程

外文关键词：nonlinear incompressible non-hydrostatic Boussinesq equations; exact solutions; symmetries; function expansion

中文摘要：Exact solutions of the atmospheric(2+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq(INHB) equations are researched by Combining function expansion and symmetry method. By function expansion, several expansion coefficient equations are derived. Symmetries and similarity solutions are researched in order to obtain exact solutions of the INHB equations. Three types of symmetry reduction equations and similarity solutions for the expansion coefficient equations are proposed. Non-traveling wave solutions for the INHB equations are obtained by symmetries of the expansion coefficient equations. Making traveling wave transformations on expansion coefficient equations, we demonstrate some traveling wave solutions of the INHB equations. The evolutions on the wind velocities, temperature perturbation and pressure perturbation are demonstrated by figures, which demonstrate the periodic evolutions with time and space.

外文摘要：Exact solutions of the atmospheric (2+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq (INHB) equations are researched by Combining function expansion and symmetry method. By function expansion, several expansion coefficient equations are derived. Symmetries and similarity solutions are researched in order to obtain exact solutions of the INHB equations. Three types of symmetry reduction equations and similarity solutions for the expansion coefficient equations are proposed. Non-traveling wave solutions for the INHB equations are obtained by symmetries of the expansion coefficient equations. Making traveling wave transformations on expansion coefficient equations, we demonstrate some traveling wave solutions of the INHB equations. The evolutions on the wind velocities, temperature perturbation and pressure perturbation are demonstrated by figures, which demonstrate the periodic evolutions with time and space.