Solitons in anharmonic chains with negative group velocity.
We consider the problem of the soliton dynamics in anharmonic chains with nearest-neighbor interactions and negative group velocity. By using the quasicontinuum approach we derive analytic expressions for envelope solitons. We observe that these solitons are stable under collisions and, moreover, in the absence of losses they can propagate with nearly any desired velocity. Energy loss effects are discussed by considering the presence of Stokes and hydrodynamical damping. Numerical simulations are performed showing a good agreement with the theory.
Arévalo
Edward
E
Institut für Theorie Elektromagnetischer Felder, Technische Universität Darmstadt, Schlossgartenstrasse 8, D-64289 Darmstadt, Germany.