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

35Q51Soliton-like equations
35B10Periodic solutions of PDE
35C08Soliton solutions of PDE
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies
Full Text: DOI
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