Phys. Rev. E 65, 046619 (2002) [5 pages]Exact discrete compactlike traveling kinks and pulses in φ4 nonlinear latticesReceived 8 November 2001; published 11 April 2002 We show that by properly choosing the analytical form of a solitary wave solution of discrete φ4 models we can calculate the parameters of the potential which allow the propagation of compact (kink and pulses) solutions. Our numerical simulations show that narrow kinks and pulses with finite extent can propagate freely, and that discrete breathers with finite but long lifetime, can emerge from their collisions. Moreover, our numerical simulations reveal that the propagation of two successive pulses at a relative distance of two lattice spacings propagate freely, i.e., without interaction. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.046619
DOI:
10.1103/PhysRevE.65.046619
PACS:
45.05.+x, 05.45.Yv, 63.20.Pw
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