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[1]刘倩,周钰谦.一类洋流运动方程的显示行波解[J].成都信息工程大学学报,2017,(06):675-677.[doi:10.16836/j.cnki.jcuit.2017.06.017]
　LIU Qian,ZHOU Yu-qian.Exact Traveling Wave Solutions of the Oceanic Currents Motion Equations[J].Journal of Chengdu University of Information Technology,2017,(06):675-677.[doi:10.16836/j.cnki.jcuit.2017.06.017]

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一类洋流运动方程的显示行波解

成都信息工程大学学报[ISSN:1006-6977/CN:61-1281/TN] 卷: 期数: 2017年06期页码: 675-677 栏目: 数理科学出版日期: 2017-05-30

Title:: Exact Traveling Wave Solutions of the Oceanic Currents Motion Equations

文章编号:: 2096-1618(2017)06-0675-03

作者:: 刘倩¹; 周钰谦²; ( 1.西南民族大学计算机科学与技术学院,四川成都 610041; 2.成都信息工程大学应用数学学院,四川成都 610225)

Author(s):: LIU Qian¹; ZHOU Yu-qian²; (1.College of Computer Science and Technology, Southwest University for Nationalities, Chengdu 610041,China; 2.College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225,China)

关键词:: 洋流运动方程; 非线性偏微分方程组; 周期波解; 双曲函数解

Keywords:: the oceanic currents motion equations; nonlinear PDEs; periodic wave solutions; hyperbolic function solutions

分类号:: O192

DOI:: 10.16836/j.cnki.jcuit.2017.06.017

文献标志码:: A

摘要:: 考察一类描述洋流运动的偏微分方程模型, 借助齐次平衡法的思想,对模型解的形式进行假设。利用改进的Tanh函数法,将该偏微分方程组约化为相应的非线性代数方程组,并借助Mapple的符号运算功能获得模型的三角函数形式的周期行波解和双曲函数形式的行波解的精确表达式。

Abstract:: We consider the oceanic currents motion equations. By using the generalized tanh-method and the symbolic toolbox of Mapple, some explicit solutions of the oceanic currents motion equations are obtained, including the trigonometric functions periodic travelling wave solutions and the hyperbolic function travelling wave solutions.

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备注/Memo

收稿日期:2017-05-05 基金项目:国家自然科学基金资助项目(11301043); 中国博士后科学基金资助项目(2016M602663); 四川省教育厅创新团队资助项目(15TD0050)

更新日期/Last Update: 2017-05-30