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We assume that the surface elevation\nis given by a step soliton which is defined using generalized solutions (Colombeau 1993).\nFinally, a system of functional equations is obtained where the amplitudes and celerity\nof wave are the unknown parameters. Numerical results are presented showing that the\ngeneralized solution produces good results having physical sense.<\/jats:p>","DOI":"10.1155\/2012\/910659","type":"journal-article","created":{"date-parts":[[2012,7,27]],"date-time":"2012-07-27T03:12:42Z","timestamp":1343358762000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Step Soliton Generalized Solutions of the Shallow Water Equations"],"prefix":"10.1155","volume":"2012","author":[{"given":"A. 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