Canonical Hamiltonians for waves in inhomogeneous media (2008)
Gershgorin, Boris, Lvov, Yuri V., Nazarenko, Sergey
We obtain a canonical form of a quadratic Hamiltonian for linear waves in a weakly inhomogeneous medium. This is achieved by using the WKB representation of wave packets. The canonical form of the...
Characterization of thermalized Fermi-Pasta-Ulam chains (2007)
The Fermi-Pasta-Ulam (FPU) chains of particles in \textit{thermal equilibrium} are studied from both wave-interaction and particle-interaction points of view. It is shown that, even in a strongly...
Interactions of renormalized waves in thermalized Fermi-Pasta-Ulam chains (2007)
Gershgorin, Boris, Lvov, Yuri V., Cai, David
The dispersive interacting waves in Fermi-Pasta-Ulam (FPU) chains of particles in \textit{thermal equilibrium} are studied from both statistical and wave resonance perspectives. It is shown that,...
Renormalized waves and discrete breathers in $\beta$-FPU chains (2005)
Gershgorin, Boris, Lvov, Yuri V., Cai, David
We demonstrate via numerical simulation that in the \textit{strongly} nonlinear limit, the $\beta$-FPU system in thermal equilibrium behaves surprisingly like weakly nonlinear waves in properly...