Multi-peak breather stability in a dissipative discrete Nonlinear Schrödinger (NLS) equation
Por:
Panayotaros, P, Rivero, F
Publicada:
1 dic 2014
Resumen:
We study the stability of breather solutions of a dissipative cubic discrete NLS with localized forcing. The breathers are similar to the ones found for the Hamiltonian limit of the system. In the case of linearly stable multi-peak breathers the combination of dissipation and localized forcing also leads to stability, and the apparent damping of internal modes that make the energy around multi-peak breathers nondefinite. This stabilizing effect is however accompanied by overdamping for relatively small values of the dissipation parameter, and the appearance of near-zero stable eigenvalues. © 2014 World Scientific Publishing Company.
Filiaciones:
Panayotaros, P:
Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Dept Matemat & Mecan, Mexico City 01000, DF, Mexico
Rivero, F:
Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Dept Matemat & Mecan, Mexico City 01000, DF, Mexico
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