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Solitary Waves with Prescribed Speed on Infinite Lattices

โœ Scribed by D. Smets; M. Willem

Book ID
102589448
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
302 KB
Volume
149
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

Using a variant of the mountain pass theorem, we prove the existence of solitary waves with prescribed speed on infinite lattices of particles with nearest neighbor interaction. The problem is to solve a second-order forward backward differentialdifference equation.

1997 Academic Press When V(u)=ab &1 (e &bu +bu&1), Toda found explicit formula's for the solitary waves. Until now, the only general existence theorem is due to Friesecke and Wattis [7]. Under some article no.

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