{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T03:48:36Z","timestamp":1761709716462},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2020,1]]},"abstract":"<jats:p> For the generalized Serre\u2013Green\u2013Naghdi equations with surface tension, using the methodologies of dynamical systems and singular traveling wave theory developed by Li and Chen [2007] for their traveling wave systems, in different parameter conditions of the parameter space, all possible bounded solutions (solitary wave solutions, kink wave solutions, peakons, pseudo-peakons and periodic peakons as well as compactons) are obtained. More than 26 explicit exact parametric representations are given. It is interesting to find that this fully nonlinear water waves equation coexists with uncountably infinitely many smooth solitary wave solutions or infinitely many pseudo-peakon solutions with periodic solutions or compacton solutions. Differing from the well-known peakon solution of the Camassa\u2013Holm equation, the generalized Serre\u2013Green\u2013Naghdi equations have four new forms of peakon solutions. <\/jats:p>","DOI":"10.1142\/s0218127420500194","type":"journal-article","created":{"date-parts":[[2020,2,14]],"date-time":"2020-02-14T01:35:40Z","timestamp":1581644140000},"page":"2050019","source":"Crossref","is-referenced-by-count":3,"title":["Bifurcations of Traveling Wave Solutions for Fully Nonlinear Water Waves with Surface Tension in the Generalized Serre\u2013Green\u2013Naghdi Equations"],"prefix":"10.1142","volume":"30","author":[{"given":"Jibin","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematical Science, Huaqiao University, Quanzhou, Fujian 362021, P. R. China"},{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejing 321004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guanrong","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Song","sequence":"additional","affiliation":[{"name":"School of Mathematical Science, Huaqiao University, Quanzhou, Fujian 362021, P. R. 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