نتایج جستجو برای: the benjamin ono equation

تعداد نتایج: 16078511  

In recent years, numerous approaches have been utilized for finding the exact solutions to nonlinear partial differential equations. One such method is known as the new extended (G'/G)-expansion method and was proposed by Roshid et al. In this paper, we apply this method and achieve exact solutions to nonlinear partial differential equations (NLPDEs), namely the Benjamin-Ono equation. It is est...

Journal: :Symmetry, Integrability and Geometry: Methods and Applications 2013

Journal: :Journal of Mathematical Analysis and Applications 1991

Journal: :Communications on Pure and Applied Analysis 2015

Journal: :International Journal of Mathematics and Mathematical Sciences 2010

2017
Felipe Linares Lionel Rosier

It was proved by Linares and Ortega in [24] that the linearized Benjamin-Ono equation posed on a periodic domain T with a distributed control supported on an arbitrary subdomain is exactly controllable and exponentially stabilizable. The aim of this paper is to extend those results to the full Benjamin-Ono equation. A feedback law in the form of a localized damping is incorporated in the equati...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2007
Y Matsuno V S Shchesnovich A M Kamchatnov R A Kraenkel

The Whitham modulation equations for the parameters of a periodic solution are derived using the generalized Lagrangian approach for the case of the damped Benjamin-Ono equation. The structure of the dispersive shock is considered in this method.

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