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(2+1)维Boiti-Leon-Pempinelli方程的椭圆函数周期波解

DOI: doi:10.3969/j.issn.1001-8395.2015.04.007, PP. 504-507

Keywords: Boiti-Leon-Pempinelli方程,动力系统,椭圆函数,周期波解,数值模拟

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Abstract:

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.

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