New periodic solitary-wave solutions for the Benjiamin Ono equation

New periodic solitary-wave solutions for the Benjiamin Ono equation
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DOI:
10.1016/j.amc.2009.11.009
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发表时间:
2010-02
期刊:
Appl. Math. Comput.
影响因子:
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通讯作者:
Zhen-hui Xu;Da-quan Xian;Han-lin Chen
Zhen-hui Xu;Da-quan Xian;Han-lin Chen
中科院分区:
其他
文献类型:
--
作者:
Zhen-hui Xu;Da-quan Xian;Han-lin Chen

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利用双线性方法和推广的同宿检验方法,得到了(1+1)维Benjiamin Ono方程的新的周期孤波解和双周期解.这些结果表明,即使是(1+1)维的可积系统也具有丰富的动力学行为。
In this paper, the new periodic solitary wave and doubly periodic solutions for (1+1)-dimensional Benjiamin Ono equation are obtained, using the bilinear method and extended homoclinic test approach. These results demonstrate that the integrable system has richly dynamical behavior even if it is (1+1)-dimensional.