Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 75, Issue 10, Pages 3589-3603Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.02.019
Keywords
(2+1) dimensional algebraic gravity solitary waves; ZK-ILW equation; Finite depth stratified atmosphere; Trial function method; Squall lines
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Funding
- National Key Research, Development Program of China [2017YFC1404000]
- Nature Science Foundation of Shandong Province of China [ZR201709180230]
- Open Fund of the Key Laboratory of Meteorological Disaster of Ministry of Education (Nanjing University of Information Science and Technology) [KLME1507]
- China Postdoctoral Science Foundation [2017M610436]
- SDUST graduate innovation project [SDKDYC180345]
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The research of algebraic gravity solitary waves is an advanced field which has important practical and theoretical value in physical, oceanography, aerology and etc. By calculation condition and theoretical method limit, previous researches mainly focused on the (1 + 1) dimensional models, and (2 + 1) dimensional models were few considered. In this paper, from the non-static equilibrium equation, a new ZK-ILW equation is derived by using multi-scale analysis and perturbation method in finite depth stratified atmosphere, which is the first time obtained. The model can reduce to ZK-BO model (h -> infinity), and ZK model (h -> 0) and is the generalization of the above two models. In order to further understand the nature of algebraic gravity solitary waves, we get the analytical solution of ZK-ILW equation by using the trial function method and discuss the conservation laws. Furthermore, the fission process of algebraic gravity solitary waves is studied, and we can judge that one of the possible formation mechanism of squall lines is the fission of algebraic gravity solitary waves. (C) 2018 Elsevier Ltd. All rights reserved.
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