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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 ...
Wave-Breaking Model for Boussinesq-Type Equations Including Roller Effects in the Mass Conservation Equation
(ASCE-AMER SOC CIVIL ENGINEERS, 2010)
We investigate the ability of a ID fully nonlinear Boussinesq model including breaking to reproduce surf zone waves in terms of wave height and nonlinear intraphase properties such as asymmetry and skewness. An alternative ...
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)
Existence and stability of periodic travelling-wave solutions of the Benjamin equation
(Amer Inst Mathematical SciencesSpringfieldEUA, 2005)
On the existence of surface waves in an elastic half-space with impedance boundary conditions
(ELSEVIER SCIENCE BV, 2012)
In this work, the problem of surface waves in an isotropic elastic half-space with impedance boundary conditions is investigated. It is assumed that the boundary is free of normal traction and the shear traction varies ...
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 ...
Nonlinear wave equations related to nonextensive thermostatistics
(Molecular Diversity Preservation International, 2017-02)
We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive Sq entropies. Our present contribution is in line with recent developments, where nonlinear ...