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Rogue Wave for the Benjamin Ono Equation
School of Science, Southwest University of Science and Technology, Mianyang, China
School of Science, Southwest University of Science and Technology, Mianyang, China
Applied Technology College, Southwest University of Science and Technology, Mianyang, China
School of Science, Southwest University of Science and Technology, Mianyang, China
- 1 School of Science, Southwest University of Science and Technology, Mianyang, China
- 2 School of Science, Southwest University of Science and Technology, Mianyang, China
- 3 Applied Technology College, Southwest University of Science and Technology, Mianyang, China
- 4 School of Science, Southwest University of Science and Technology, Mianyang, China
Advances in Pure Mathematics·Volume 05 (2015)·Pages 82–87·Published 26 January 2015·DOI10.4236/apm.2015.52010
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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.
KeywordsBenjamin Ono EquationExtended Homoclinic Test MethodHomoclinic (Hateroclinic) Breather Limit MethodRogue Wave Solution
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