Alfimov, G.L. and Evans, W.A.B. and Vazquez, L. (2000) On radial sine-Gordon breathers. Nonlinearity, 13 (5). pp. 1657-1680. ISSN 0951-7715.
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The problem of the existence of radial sine-Gordon breathers (i.e. radial solutions which are periodic in time and decay at infinity with respect to the spatial variable) in the (d + 1)-dimensional case (where d > 1) is considered. We have constructed numerically such entities which have infinite energy; simultaneously, Re give a numerical confirmation of the non-existence of such objects with finite energy. We offer an interpretation of the observed robustness of such entities as seen in numerical simulations. It is based on our numerical analysis of the problem in a bounded domain, 0 < r < R, and with non-integer values of d. AMS classification scheme numbers: 35L70, 35Q53, 81T80, 34C35.
|Subjects:||Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics
|Divisions:||Faculties > Science Technology and Medical Studies > School of Physical Sciences|
|Depositing User:||Suzanne Duffy|
|Date Deposited:||13 Mar 2009 14:43|
|Last Modified:||13 Mar 2009 14:43|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/16044 (The current URI for this page, for reference purposes)|
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