Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 215, Issue 8, Pages 3068-3075Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.09.057
Keywords
Fornberg-Whitham equation; Periodic wave solution; Solitary wave solution; Loop-soliton solutions
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Funding
- National Natural Science Foundation of China [10961011, 60964006]
- Science Foundation of Guangxi [0832244]
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Zhou and Tian [J.B. Zhou, L. X. Tian, A type of bounded travelling wave solutions for the Fornberg-Whitham equation, J. Math. Anal. Appl. 346 (2008) 255-261] successfully found a type of bounded travelling wave solutions of the Fornberg-Whitham equation. In this paper, we improve the previous result by using the phase portrait analytical technology. Moreover, some smooth periodic wave, smooth solitary wave, periodic cusp wave and loop-soliton solutions are given, and the numerical simulation is made. The results show that our theoretical analysis agrees with the numerical simulation. (C) 2009 Elsevier Inc. All rights reserved.
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