Exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity

Exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity

The symmetry reduction equations, similarity solutions, sub-groups and exact solutions of the (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity (INHBV equations), which describe the atmospheric gravity waves, are researched in this paper. Calculation on s...

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Main Authors: Ping Liu, Bao-Qing Zeng, Bo-Bo Deng, Jian-Rong Yang
Format: Article
Language:English
Published: AIP Publishing LLC 2015-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4929574
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spelling doaj-dd9e601da0724542a29f693ce729022e2020-11-25T01:27:42ZengAIP Publishing LLCAIP Advances2158-32262015-08-0158087162087162-1510.1063/1.4929574061508ADVExact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosityPing Liu0Bao-Qing Zeng1Bo-Bo Deng2Jian-Rong Yang3School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, ChinaSchool of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, ChinaSchool of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, ChinaDepartment of Physics and Electronics, Shangrao Normal University, Shangrao 334001, ChinaThe symmetry reduction equations, similarity solutions, sub-groups and exact solutions of the (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity (INHBV equations), which describe the atmospheric gravity waves, are researched in this paper. Calculation on symmetry shows that the equations are invariant under the Galilean transformations, scaling transformations, rotational transformations and space-time translations. Three types of symmetry reduction equations and similar solutions for the (3+1)-dimensional INHBV equations are proposed. Traveling wave solutions of the INHBV equations are demonstrated by means of symmetry method. The evolutions on the wind velocities and temperature perturbation are demonstrated by figures.http://dx.doi.org/10.1063/1.4929574
collection DOAJ
language English
format Article
sources DOAJ
author Ping Liu
Bao-Qing Zeng
Bo-Bo Deng
Jian-Rong Yang
spellingShingle Ping Liu
Bao-Qing Zeng
Bo-Bo Deng
Jian-Rong Yang
Exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity
AIP Advances
author_facet Ping Liu
Bao-Qing Zeng
Bo-Bo Deng
Jian-Rong Yang
author_sort Ping Liu
title Exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity
title_short Exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity
title_full Exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity
title_fullStr Exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity
title_full_unstemmed Exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity
title_sort exact solutions of atmospheric (3+1)-dimensional nonlinear incompressible non-hydrostatic boussinesq equations with viscosity
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2015-08-01
description The symmetry reduction equations, similarity solutions, sub-groups and exact solutions of the (3+1)-dimensional nonlinear incompressible non-hydrostatic Boussinesq equations with viscosity (INHBV equations), which describe the atmospheric gravity waves, are researched in this paper. Calculation on symmetry shows that the equations are invariant under the Galilean transformations, scaling transformations, rotational transformations and space-time translations. Three types of symmetry reduction equations and similar solutions for the (3+1)-dimensional INHBV equations are proposed. Traveling wave solutions of the INHBV equations are demonstrated by means of symmetry method. The evolutions on the wind velocities and temperature perturbation are demonstrated by figures.
url http://dx.doi.org/10.1063/1.4929574
work_keys_str_mv AT pingliu exactsolutionsofatmospheric31dimensionalnonlinearincompressiblenonhydrostaticboussinesqequationswithviscosity
AT baoqingzeng exactsolutionsofatmospheric31dimensionalnonlinearincompressiblenonhydrostaticboussinesqequationswithviscosity
AT bobodeng exactsolutionsofatmospheric31dimensionalnonlinearincompressiblenonhydrostaticboussinesqequationswithviscosity
AT jianrongyang exactsolutionsofatmospheric31dimensionalnonlinearincompressiblenonhydrostaticboussinesqequationswithviscosity
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