1999
DOI: 10.1002/(sici)1097-0312(199906)52:6<693::aid-cpa2>3.3.co;2-0 View full text |Buy / Rent full text
|
|

Abstract: We consider an infinite particle chain whose dynamics are governed by the following system of differential equations:where qn(t) is the displacement of the n th particle at time t along the chain axis and · denotes differentiation with respect to time. We assume that all particles have unit mass and that the interaction potential V between adjacent particles is a convex C ∞ function. For this system, we prove the existence of C ∞ , timeperiodic, traveling-wave solutions of the formwhere q is a periodic functio… Show more

Help me understand this report

Search citation statements

Order By: Relevance
Select...
0
35
0

Publication Types

Select...

Relationship

0
0

Authors

Journals