{"id":12732,"date":"2004-01-01T00:00:00","date_gmt":"2004-01-01T08:00:00","guid":{"rendered":"https:\/\/www.hmc.edu\/clinic\/2004\/solitons-in-shallow-water-waves\/"},"modified":"2004-01-01T00:00:00","modified_gmt":"2004-01-01T08:00:00","slug":"solitons-in-shallow-water-waves","status":"publish","type":"post","link":"https:\/\/www.hmc.edu\/clinic\/2004\/solitons-in-shallow-water-waves\/","title":{"rendered":"Solitons in Shallow Water Waves"},"content":{"rendered":"<h2 class=\"project-sponsor-dept-year\"><span class=\"project-sponsor\">Los Alamos National Laboratory<\/span> <span class=\"project-dept-year\">Mathematics, 2003-04<\/span><\/h2>\n<div class=\"project-team\">\n<p><strong>Liaison(s):<\/strong> Darryl Holm<br \/>\n<strong>Advisor(s):<\/strong> Alfonso Castro<br \/>\n<strong>Students(s):<\/strong> Lindsay Crowl (PM),  Kevin Andrew,  Christian Bruun,  Jon Goldis<\/p>\n<\/div>\n<div class=\"project-abstract\">\n<p>Los Alamos National Laboratory is currently researching various properties of nonlinear shallow water wave equations. With the help of the Clinic&#8217;s Liaison, Dr. Darryl Holm, the team is analyzing the distinct behavior of the Camassa-Holm equation. This research investigation will include both a theoretical and a numerical analysis of soliton-like shallow water waves called peakons. For the numerical investigation, the team has created a numerical integrator for the third order, nonlinear Camassa-Holm equation. The theoretical results will be compared to numerical simulations that visualize various aspects of wave behavior in both the one and two dimensional cases.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Los Alamos National Laboratory Mathematics, 2003-04 Liaison(s): Darryl Holm Advisor(s): Alfonso Castro Students(s): Lindsay Crowl (PM), Kevin Andrew, Christian Bruun, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[185],"tags":[290],"class_list":["post-12732","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-los-alamos-national-laboratory"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/posts\/12732","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/comments?post=12732"}],"version-history":[{"count":0,"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/posts\/12732\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/media?parent=12732"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/categories?post=12732"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.hmc.edu\/clinic\/wp-json\/wp\/v2\/tags?post=12732"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}