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一类非线性波动方程的新的精确解
  • 时间：0
  • 分类：O192[理学—数学;理学—基础数学]
  • 作者机构：[1]成都信息工程学院应用数学学院,四川成都610225, [2]西南民族大学计算机科学与技术学院,四川成都610041
  • 相关基金：国家自然科学基金（11301043和11171046）; 四川省教育厅自然科学重点项目（12ZA224）
作者： 刘世杰[1], 周钰谦[1], 皮金鑫[1]
关键词： Boiti-Leon-Pempinelli方程, 动力系统, 椭圆函数, 周期波解, 数值模拟, Boiti-Leon-Pempinelli equation, elliptic function , periodic wave solutions , dynamical system , numerical simulation, bifurcation
中文摘要：

利用动力系统和数值模拟的相关理论和方法研究了（2＋1）维Boiti-Leon-Pempinelli方程,获得了其不同拓扑结构的相图,这些相图清楚地展示了所有的有界轨道,而这些有界轨道就对应于原系统的有界行波.进一步,通过计算复杂的椭圆积分,获得了系统椭圆函数类型的周期波解.

英文摘要：

By using the theories and methods of dynamical system and numerical simulation, the （2 ＋ 1 ） -dimensional Boiti-Leon- Pempinelli equations are studied. The phase portraits with different topological structure are obtained. These phase portraits show all bounded orbits clearly, which correspond to the bounded traveling waves of the BLP equations. Furthermore, by calculating complicated elliptic integrals, the elliptic function periodic wave solutions of the BLP equation are obtained.

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