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Xu, Zhen-Hui; Xian, Da-Quan; Chen, Han-Lin

New periodic solitary-wave solutions for the Benjiamin Ono equation. (English) Zbl 1185.35213

Appl. Math. Comput. 215, No. 12, 4439-4442 (2010).
Summary: 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.

Cited in 13 Documents

MSC:

35Q51 Soliton equations
35B10 Periodic solutions to PDEs
35C08 Soliton solutions
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)

Keywords:

periodic solitary wave; Benjiamin Ono equation; homoclinic test method
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\textit{Z.-H. Xu} et al., Appl. Math. Comput. 215, No. 12, 4439--4442 (2010; Zbl 1185.35213)
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