Adem, Abdullahi RashidKhalique, Chaudry Masood2017-05-162017-05-162016Adem, A.R. & Khalique, C.M. 2016. Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg-de Vries system. Computational Mathematics and Mathematical Physics, 56(4):650-660. [http://dx.doi.org/10.1134/S0965542516040023]0965-54251555-6662 (Online)http://dx.doi.org/10.1134/S0965542516040023http://hdl.handle.net/10394/24227In 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.enGeneralized coupled variable-coefficient modified Korteweg-de Vries systemsymbolic computationconservation lawssimilarity reductionsexact solutionsArticle