TITLE:
Rogue Wave for the Benjamin Ono Equation
AUTHORS:
Lili Song, Wei Chen, Zhenhui Xu, Hanlin Chen
KEYWORDS:
Benjamin Ono Equation, Extended Homoclinic Test Method, Homoclinic (Hateroclinic) Breather Limit Method, Rogue Wave Solution
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.2,
February
13,
2015
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.