The equation governing four-wave interactions in a nonlinear dispersive system is studied. It is shown that a nonlinear steady-state plane wave can bifurcate into nonplanar steady-state solutions. In the case of an isotropic medium, the bifurcation is degenerate and the bifurcated solutions may preserve or break the symmetry. An example is given of a symmetry-breaking solution for deep-water gravity waves and its stability is discussed
We study the nonlinear interaction of waves propagating in the same direction in shallow water chara...
A weakly nonlinear Hamiltonian model for two-dimensional irrotational waves on water of finite depth...
A simple one-dimensional non linear equation including effects of instability, dissipation, and disp...
The equation governing four-wave interactions in a nonlinear dispersive system is studied. It is sho...
We consider the damped externally excited KdV and BBM equations and use an asymptotic perturbation m...
Two different numerical methods are used to demonstrate the existence of and calculate non-symmetric...
ABSTRACT. A simple one-dimensional non linear equation including effects of instability, dissipation...
International audienceThe theory of bifurcations of dynamical systems is used to investigate the beh...
One of the major success stories in analysis over the past couple of decades is the deep and detaile...
This talk will examine the stability properties of representative cases of nonlinear dispersive wave...
Standing waves are a fundamental class of solutions of nonlinear wave equations with a spatial refle...
The Lugiato-Lefever equation is a cubic nonlinear Schrödinger equation, including damping, detuning ...
A weakly nonlinear model is developed from the Hamiltonian formulation of water waves, to study the ...
Plane progressive waves on water of finite or infinite depth are treated under the effect of both gr...
Nonlinear wave groups in deep water consist of wave modes for which nonlinear interactions and dispe...
We study the nonlinear interaction of waves propagating in the same direction in shallow water chara...
A weakly nonlinear Hamiltonian model for two-dimensional irrotational waves on water of finite depth...
A simple one-dimensional non linear equation including effects of instability, dissipation, and disp...
The equation governing four-wave interactions in a nonlinear dispersive system is studied. It is sho...
We consider the damped externally excited KdV and BBM equations and use an asymptotic perturbation m...
Two different numerical methods are used to demonstrate the existence of and calculate non-symmetric...
ABSTRACT. A simple one-dimensional non linear equation including effects of instability, dissipation...
International audienceThe theory of bifurcations of dynamical systems is used to investigate the beh...
One of the major success stories in analysis over the past couple of decades is the deep and detaile...
This talk will examine the stability properties of representative cases of nonlinear dispersive wave...
Standing waves are a fundamental class of solutions of nonlinear wave equations with a spatial refle...
The Lugiato-Lefever equation is a cubic nonlinear Schrödinger equation, including damping, detuning ...
A weakly nonlinear model is developed from the Hamiltonian formulation of water waves, to study the ...
Plane progressive waves on water of finite or infinite depth are treated under the effect of both gr...
Nonlinear wave groups in deep water consist of wave modes for which nonlinear interactions and dispe...
We study the nonlinear interaction of waves propagating in the same direction in shallow water chara...
A weakly nonlinear Hamiltonian model for two-dimensional irrotational waves on water of finite depth...
A simple one-dimensional non linear equation including effects of instability, dissipation, and disp...
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