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As an application, the same ansatz is also used to compute the thermodynamically stable period of a 1D modulated phase pattern, described by a modified Cahn\u2013Hilliard dynamics with a long range interaction term. <\/jats:p>","DOI":"10.1142\/s0218127409024980","type":"journal-article","created":{"date-parts":[[2009,12,15]],"date-time":"2009-12-15T06:45:55Z","timestamp":1260859555000},"page":"3541-3552","source":"Crossref","is-referenced-by-count":3,"title":["1D CAHN\u2013HILLIARD EQUATION: OSTWALD RIPENING AND MODULATED PHASE SYSTEMS"],"prefix":"10.1142","volume":"19","author":[{"given":"SIMON","family":"VILLAIN-GUILLOT","sequence":"first","affiliation":[{"name":"Centre de Physique Mol\u00e9culaire Optique et Hertzienne, Universit\u00e9 Bordeaux I, 351 cours de la Lib\u00e9ration 33405, Talence Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Handbook of Mathematical Functions","author":"Abramowitz M.","year":"1965"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.046210"},{"key":"rf3","volume-title":"Periodic Differential Equations","author":"Arscott F. 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