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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 4, Page 664
DOI: https://doi.org/10.7868/S0044466916040025 (Mi zvmmf10374) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg–de Vries system

A. R. Adem, C. M. Khalique

Internat. Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa
Full-text PDF (35 kB) Citations (3)
DOI: https://doi.org/10.7868/S0044466916040025
Abstract: In this paper we study a generalized coupled variable-coefficient modified Korteweg–de Vries (CVCmKdV) system that models a two-layer fluid, which is applied to investigate the atmospheric and oceanic phenomena such as the atmospheric blockings, interactions between the atmosphere and ocean, oceanic circulations and hurricanes. The conservation laws of the CVCmKdV system are derived using the multiplier approach and a new conservation theorem. In addition to this, a similarity reduction and exact solutions with the aid of symbolic computation are computed.
Key words: generalized coupled variable-coefficient modified Korteweg–de Vries system, symbolic computation, conservation laws, similarity reductions, exact solutions.
Received: 12.02.2014
Revised: 28.08.2014
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 4, Pages 650–660
DOI: https://doi.org/10.1134/S0965542516040023
Bibliographic databases:
Document Type: Article
UDC: 519.934
Language: English
Citation: A. R. Adem, C. M. Khalique, “Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg–de Vries system”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 664; Comput. Math. Math. Phys., 56:4 (2016), 650–660
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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