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Asymptotic approach for the nonlinear equatorial long wave interactions
(2011-08-30)
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the ...
Asymptotic approach for the nonlinear equatorial long wave interactions
(2011-08-30)
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the ...
STABILITY FOR THE MODIFIED AND FOURTH-ORDER BENJAMIN-BONA-MAHONY EQUATIONS
(Amer Inst Mathematical SciencesSpringfieldEUA, 2011)
The regularized Benjamin-Ono and BBM equations: Well-posedness and nonlinear stability
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)
The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations
(ELSEVIER, 2011)
The Serre equations are a pair of strongly nonlinear, weakly dispersive, Boussinesq-type partial differential equations. They model the evolution of the surface elevation and the depth-averaged horizontal velocity of an ...
Water waves generated by local disturbance: Serre's model validity
(2002-12-01)
Water waves generated by landslides were long menace in certain localities and the study of this phenomenon were carried out at an accelerated rate in the last decades. Nevertheless, the phase of wave creation was found ...
Water waves generated by local disturbance: Serre's model validity
(2002-12-01)
Water waves generated by landslides were long menace in certain localities and the study of this phenomenon were carried out at an accelerated rate in the last decades. Nevertheless, the phase of wave creation was found ...
Stability properties of periodic traveling waves for the intermediate long wave equation
(European Mathematical Soc, 2017-01-01)
In this paper we determine orbital and linear stability of a class of spatially periodic wavetrain solutions with the mean zero property related to the intermediate long wave equation. Our arguments follow recent developments ...