{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T15:03:35Z","timestamp":1779289415455,"version":"3.51.4"},"reference-count":17,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,3]]},"abstract":"<jats:p> In this paper, we apply the method of dynamical systems to the traveling wave solutions of the Novikov equation. Through qualitative analysis, we obtain bifurcations of phase portraits of the traveling system and exact cuspon wave solution, as well as a family of breaking wave solutions (compactons). We find that the corresponding traveling system of Novikov equation has no one-peakon solution. <\/jats:p>","DOI":"10.1142\/s0218127414500370","type":"journal-article","created":{"date-parts":[[2014,3,25]],"date-time":"2014-03-25T09:36:36Z","timestamp":1395740196000},"page":"1450037","source":"Crossref","is-referenced-by-count":13,"title":["Exact Cuspon and Compactons of the Novikov Equation"],"prefix":"10.1142","volume":"24","author":[{"given":"Jibin","family":"Li","sequence":"first","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,3,25]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65138-0"},{"key":"rf2","first-page":"1161","volume":"71","author":"Cammasa R.","journal-title":"Phys. Rev. Lett."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0065-2156(08)70254-0"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021186408422"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(95)00133-O"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/22\/8\/004"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(03)00114-2"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/41\/37\/372002"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407019858"},{"key":"rf10","volume-title":"On the Study of Singular Nonlinear Traveling Wave Equations: Dynamical Approach","author":"Li J.","year":"2007"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1063\/1.3385777"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2012.11.023"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/42\/34\/342002"},{"key":"rf14","first-page":"906","volume":"53","author":"Olver P. J.","journal-title":"Phys. Rev. E"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i2005-10453-y"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/94\/50003"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.564"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127414500370","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T01:33:31Z","timestamp":1565141611000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127414500370"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3]]},"references-count":17,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2014,3,25]]},"published-print":{"date-parts":[[2014,3]]}},"alternative-id":["10.1142\/S0218127414500370"],"URL":"https:\/\/doi.org\/10.1142\/s0218127414500370","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,3]]}}}