Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5496919 | Physics Letters A | 2017 | 7 Pages |
Abstract
We present two improved quasi-continuous models of dense, strictly anharmonic chains. The direct expansion which includes the leading effect due to lattice dispersion, results in a Boussinesq-type PDE with a compacton as its basic solitary mode. Without increasing its complexity we improve the model by including additional terms in the expanded interparticle potential with the resulting compacton having a milder singularity at its edges. A particular care is applied to the Hertz potential due to its non-analyticity. Since, however, the PDEs of both the basic and the improved model are ill posed, they are unsuitable for a study of chains dynamics. Using the bond length as a state variable we manipulate its dispersion and derive a well posed fourth order PDE.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
P. Rosenau, A. Zilburg,