Benjamin-Ono equation: Rogue waves, generalized breathers, soliton bending, fission, and fusion
نویسندگان
چکیده
منابع مشابه
Solitary waves of the rotation-generalized Benjamin-Ono equation
This work studies the rotation-generalized Benjamin-Ono equation which is derived from the theory of weakly nonlinear long surface and internal waves in deep water under the presence of rotation. It is shown that the solitary-wave solutions are orbitally stable for certain wave speeds.
متن کاملMultiple Soliton Solutions of Second-order Benjamin-ono Equation
We employ the idea of Hirota’s bilinear method, to obtain some new exact soliton solutions for high nonlinear form of Multiple soliton solutions of secondorder Benjamin-Ono equation. Multiple singular soliton solutions were obtained by this method. Moreover, multiple singular soliton solutions were also derived.
متن کاملOn the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation
We consider a two-dimensional generalization of the Benjamin-Ono equation and prove that it admits solitary-wave solutions that are analytic functions. We find the optimal decay rate at infinity of these solitary waves.
متن کاملSingularity Formation in the Generalized Benjamin-ono Equation
A Fourier-collocation scheme is used to approximate solutions to the generalized Benjamin-Ono equation ut +uux −Huxx = 0. The numerical simulation suggests that the equation features smooth solutions that become unbounded in finite time.
متن کاملPerturbation theory for the Benjamin–Ono equation
We develop a perturbation theory for the Benjamin–Ono (BO) equation. This perturbation theory is based on the inverse scattering transform for the BO equation, which was originally developed by Fokas and Ablowitz and recently refined by Kaup and Matsuno. We find the expressions for the variations of the scattering data with respect to the potential, as well as the dual expression for the variat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal Plus
سال: 2020
ISSN: 2190-5444
DOI: 10.1140/epjp/s13360-020-00808-8