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Rogue Wave for the Benjamin Ono Equation

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ABSTRACT
In the paper, the homoclinic (hateroclinic) breather limit method (HBLM) is applied to seek rogue wave solution of the Benjamin Ono equation. We find that the rational breather wave solution is just a rogue wave solution. This result shows that rogue wave can come from the extreme behavior of the breather solitary wave for (1+1)-dimensional nonlinear wave fields.
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.
 
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