66 citations · 74 across the 4 of their papers we have counts for
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math-ph2008★ 8 cited
Canonical Hamiltonians for waves in inhomogeneous media
Boris Gershgorin, Yuri V. Lvov, Sergey Nazarenko
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 canon…
math-ph2007
Characterization of thermalized Fermi-Pasta-Ulam chains
Boris Gershgorin
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, eve…
math-ph2005★ 66 cited
Renormalized waves and discrete breathers in -FPU chains
Boris Gershgorin, Yuri V. Lvov, David Cai
We demonstrate via numerical simulation that in the \textit{strongly} nonlinear limit, the -FPU system in thermal equilibrium behaves surprisingly like weakly nonlinear waves in…