1,721,036 research outputs found
Stability properties of the N/4 (pi/2-mode) one-mode nonlinear solution of the Fermi-Pasta-Ulam- beta system
No full textWe present a detailed numerical and analytical study of the stability properties of the pi/2-mode nonlinear solution of the Fermi-Pasta-Ulam- system. The numerical analysis is made as a function of the number N of the particles of the system and of the product epsilon*beta, where epsilon is the energy density and beta is the parameter characterizing the nonlinearity. It is shown that, both for beta>0 and beta>0, the instability threshold value converges, with increasing N, to the same value , that for beta>0 it is a decreasing function of N as in the pi -mode, whereas, for beta< 0, it is an increasing one. The asymptotic behavior of the threshold value for large values of N is analytically obtained in both cases with a Floquet analysis of the stability
Application of the Bogoliubov-Krylov method of averaging to the Fermi-Pasta-Ulam system.
No full textWe apply the Bogoliubov-Krilov method of averaging to the study of the stability of the pi-mode solution of the Fermi-Pasta-Ulam beta-system, with negative values of the nonlinearity parameter beta in the Hamiltonian of the system. The analysis is made as a function of the number N of the particles and of the product epsilon*|beta|, where epsilon is the energy density. The results of this application are in excellent agreement with those obtained by the direct integration of motion equation
Group analysis of a system of equations for birefringent optical fibers
No full textM.Costato, A.Degasperis editori, M.Milan
Properties of a special function related to self-similar solutions of certain nonlinear wave equations
No full text
Non-linear superposition formula for the three-wave resonant interaction via the Hilbert - Riemann problem
No full textThe eigenvalue problem for the three-wave resonant interaction via the prolongation structure
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