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Rogue Wave for the Benjamin Ono Equation

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DOI: 10.4236/apm.2015.52010    2,601 Downloads   3,120 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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