Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 11, Issue 1, Pages 356-363Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2008.11.014
Keywords
Fornberg-Whitham equation; Soliton; Peakon; Periodic cusp wave solution
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Funding
- NSF of China [90610031]
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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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