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

被引：0
作者：
Abdullahi Rashid Adem
Chaudry Masood Khalique
机构：
[1] North-West University,International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences
[2] Mafikeng Campus,undefined
来源：
Computational Mathematics and Mathematical Physics | 2016年 / 56卷
关键词：
generalized coupled variable-coefficient modified Korteweg–de Vries system; symbolic computation; conservation laws; similarity reductions; exact solutions;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：650 / 660
页数：10
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