期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 11, 期 1, 页码 356-363出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2008.11.014
关键词
Fornberg-Whitham equation; Soliton; Peakon; Periodic cusp wave solution
资金
- NSF of China [90610031]
In this paper, we employ the bifurcation method to dynamical systems to investigate the exact travelling wave solutions for the Fornberg-Whitham equation u(t) - u(xxt) + u(x) + uu(x) = uu(xxx) + 3u(x)uxx. The implicit expression for solitons is given. The explicit expressions for peakons and periodic cusp wave solutions are also obtained. Further, we show that the limits of soliton solutions and periodic cusp wave solutions are peakons. (C) 2008 Elsevier Ltd. All rights reserved.
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