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Rogue Wave for the Benjamin Ono Equation 被引量:1

Rogue Wave for the Benjamin Ono Equation
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摘要 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. 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.
出处 《Advances in Pure Mathematics》 2015年第2期82-87,共6页 理论数学进展(英文)
关键词 BENJAMIN Ono EQUATION Extended HOMOCLINIC Test METHOD HOMOCLINIC (Hateroclinic) BREATHER Limit METHOD Rogue WAVE Solution Benjamin Ono Equation Extended Homoclinic Test Method Homoclinic (Hateroclinic) Breather Limit Method Rogue Wave Solution
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