Geodesic
Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg–de Vries system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4
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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. 
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     author = {A. R. Adem and C. M. Khalique},
     title = {Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified {Korteweg{\textendash}de} {Vries} system},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {664},
     year = {2016},
     volume = {56},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a10/}
}
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A. R. Adem; C. M. Khalique. Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg–de Vries system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a10/