{"id":410,"date":"2015-10-12T19:19:55","date_gmt":"2015-10-12T16:19:55","guid":{"rendered":"http:\/\/we.kybi\/wp\/?page_id=410"},"modified":"2015-10-12T19:19:55","modified_gmt":"2015-10-12T16:19:55","slug":"deformation-of-strongly-nonlinear-wave-on-shallow-water","status":"publish","type":"page","link":"https:\/\/wavelab.taltech.ee\/?page_id=410","title":{"rendered":"Deformation of strongly nonlinear wave on shallow water"},"content":{"rendered":"<p>Nonlinear deformation of shallow water waves is studying numerically and analytically. Main attention is paid to\u00a0the large-amplitude waves with negative polarity (troughs). In this case the nonlinear parameter (Mach number),\u00a0which is defined as ratio of the particle speed to the wave speed, is varied in wide range and can be much bigger\u00a0than one. The process of the wave transformation to the shock wave (bore) is qualitative the same for any initial\u00a0amplitudes, and an amplitude of the shock wave at large times changes accordingly to predictions of weakly\u00a0nonlinear theory. If the initial wave amplitude is too big, the reflected wave is appeared during the shock wave\u00a0forming and it also transforms to the shock wave. Amplitude of the reflected wave is proportional to initial amplitude\u00a0with exponent three (as it is predicted by weakly nonlinear theory) in wide range of amplitude variation, with the\u00a0exception of abnormally large nonlinearity.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nonlinear deformation of shallow water waves is studying numerically and analytically. Main attention is paid to\u00a0the large-amplitude waves with negative polarity (troughs). In this case the nonlinear parameter (Mach number),\u00a0which is defined as ratio of the particle speed to the wave speed, is varied in wide range and can be much bigger\u00a0than one. The process of the wave transformation to &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-410","page","type-page","status-publish","hentry","archive-loop-container"],"_links":{"self":[{"href":"https:\/\/wavelab.taltech.ee\/index.php?rest_route=\/wp\/v2\/pages\/410","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wavelab.taltech.ee\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wavelab.taltech.ee\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wavelab.taltech.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wavelab.taltech.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=410"}],"version-history":[{"count":0,"href":"https:\/\/wavelab.taltech.ee\/index.php?rest_route=\/wp\/v2\/pages\/410\/revisions"}],"wp:attachment":[{"href":"https:\/\/wavelab.taltech.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=410"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}