TY - JOUR
T1 - Asymptotics for supersonic traveling waves in the morse lattice
AU - Aceves, Alejandro B.
AU - Cisneros-Ake, Luis A.
AU - Minzoni, Antonmaria A.
PY - 2011/10
Y1 - 2011/10
N2 - Supersonic traveling wave solutions to the Morse lattice are consid-ered. By numerical means, we show that initial shock like initial values always evolve into traveling shock solutions after the emission of radiation traveling at the sound speed. Using a trial function which includes a shape modulation in the core of the shock we show how the Peierls-Nabarro self consistent po-tential induced by the lattice is canceled by the adjustment of the phase. We find excellent agreement between the modulation analysis and the numerical solutions.
AB - Supersonic traveling wave solutions to the Morse lattice are consid-ered. By numerical means, we show that initial shock like initial values always evolve into traveling shock solutions after the emission of radiation traveling at the sound speed. Using a trial function which includes a shape modulation in the core of the shock we show how the Peierls-Nabarro self consistent po-tential induced by the lattice is canceled by the adjustment of the phase. We find excellent agreement between the modulation analysis and the numerical solutions.
KW - Modulation averaged Lagrangian
KW - Peierls-Nabarro potential
KW - Super-sonic traveling waves
UR - http://www.scopus.com/inward/record.url?scp=84857703611&partnerID=8YFLogxK
U2 - 10.3934/dcdss.2011.4.975
DO - 10.3934/dcdss.2011.4.975
M3 - Artículo
SN - 1937-1632
VL - 4
SP - 975
EP - 994
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
IS - 5
ER -