On some single-hump solutions of the short-pulse equation and their periodic generalizations

Publication Date

2010

Journal or Book Title

PHYSICS LETTERS A

Abstract

In the present work, we consider both localized (e.g. peakon and breather) and extended waveforms (peakon-lattice and breather-lattice, as well as some periodic ones) that arise in the context of the short-pulse equation, as emanating from their sine-Gordon equation analogs. Through direct numerical simulations, we find that the most robust solution is the breather, although some of the single-hump variants of the periodic solutions may be preserved upon the time dynamics as well. Multi-peakon, as well as multi-breather and multi-hump profiles more generally are found to be subject to symmetry-breaking instabilities and are, thus, less robust.

Comments

The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVM-50297B0-1&_user=1516330&_coverDate=06%2F28%2F2010&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1579292477&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=fcad6e9b2e8ed9efa436f9b8a09034c8&searchtype=a

Pages

2964-2967

Volume

374

Issue

29

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