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In the paper, the homoclinic hateroclinic breather limit method HBLM isapplied to seek rogue wave solution of the Benjamin Ono equation. We find thatthe rational breather wave solution is just a rogue wave solution. This resultshows that rogue wave can come from the extreme behavior of the breathersolitary wave for 1+1-dimensional nonlinear wave fields.


Benjamin Ono Equation, Extended Homoclinic Test Method, Homoclinic Hateroclinic Breather Limit Method, Rogue Wave Solution

Cite this paper

Song, L. , Chen, W. , Xu, Z. and Chen, H. 2015 Rogue Wave for the Benjamin Ono Equation. Advances in Pure Mathematics, 5, 82-87. doi: 10.4236-apm.2015.52010.

Autor: Lili Song1*, Wei Chen1, Zhenhui Xu2, Hanlin Chen1



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