scholarly journals Emergent geometries and nonlinear-wave dynamics in photon fluids

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
F. Marino ◽  
C. Maitland ◽  
D. Vocke ◽  
A. Ortolan ◽  
D. Faccio
Keyword(s):  
Nonlinear Wave ◽  
Wave Dynamics

Nonlinear Wave Dynamics in the Surf Zone

1997 ◽  
Author(s):  
O. R. Sørensen ◽  
P. A. Madsen ◽  
H. A. Schäffer
Keyword(s):  
Nonlinear Wave ◽  
Surf Zone ◽  
Wave Dynamics

Nonlinear wave dynamics of tensegrity metamaterials

2019 ◽  
Author(s):  
Fernando Fraternali ◽  
Gerardo Carpentieri ◽  
Ada Amendola ◽  
Agostina Orefice ◽  
Robert E. Skelton ◽  
...  
Keyword(s):  
Nonlinear Wave ◽  
Wave Dynamics

Nonlinear wave dynamics in shallow water

1996 ◽  
Vol T67 ◽  
pp. 86-89
Author(s):  
P A Madsen ◽  
B Banijamali ◽  
O R Sørensen ◽  
H A Schäffer
Keyword(s):  
Shallow Water ◽  
Nonlinear Wave ◽  
Wave Dynamics

scholarly journals Hamiltonian description of wave dynamics in nonequilibrium media

1994 ◽  
Vol 1 (4) ◽  
pp. 234-248 ◽  
Author(s):  
N. N. Romanova
Keyword(s):  
Nonlinear Wave ◽  
Evolution Equations ◽  
Normal Modes ◽  
Weak Nonlinearity ◽  
Hamiltonian Description ◽  
Weakly Nonlinear ◽  
Wave Dynamics ◽  
Canonical Variables ◽  
Stable Points ◽  
Stable Area

Abstract. We consider Hamiltonian description of weakly nonlinear wave dynamics in unstable and nonequilibrium media. We construct the appropriate canonical variables in the whole wavenumber space. The essentially new element is the construction of canonical variables in a vicinity of marginally stable points where two normal modes coalesce. The commonly used normal variables are not appropriate in this domain. The mater is that the approximation of weak nonlinearity breaks down when the dynamical system is written in terms of these variables. In this case we introduce the canonical variables based on the linear combination of modes belonging to the two different branches of dispersion curve. As an example of one of the possible applications of presented results the evolution equations for weakly nonlinear wave packets in the marginally stable area are derived. These equations cannot be derived if we deal with the commonly used normal variables.

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