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Its solutions are investigated in the phase plane. The conditions for the capture or reflection of a solitary wave by a single localized external force are obtained, with an emphasis on the role of the cubic nonlinear term.<\/jats:p>","DOI":"10.1142\/s0218127402005947","type":"journal-article","created":{"date-parts":[[2002,12,19]],"date-time":"2002-12-19T09:46:50Z","timestamp":1040291210000},"page":"2409-2419","source":"Crossref","is-referenced-by-count":14,"title":["INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG\u2013DE VRIES EQUATION"],"prefix":"10.1142","volume":"12","author":[{"given":"ROGER","family":"GRIMSHAW","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Loughborough University, Loughborough, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"EFIM","family":"PELINOVSKY","sequence":"additional","affiliation":[{"name":"Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics, Nizhny Novgorod, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1063\/1.868793"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1002\/sapm199390175"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(94)90299-2"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1002\/sapm1996973235"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-2125(97)00028-0"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.5194\/npg-4-237-1997"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(99)00045-7"},{"key":"rf8","doi-asserted-by":"crossref","unstructured":"R.\u00a0Grimshaw, Environmental Stratified Flows, ed. 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