期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 398, 期 2, 页码 776-784出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.09.014
关键词
Generalized Camassa-Holm equation; Stability; Solitary wave solution
资金
- National Natural Science Foundation of China [11071164]
- Scientific Research Innovation Project of Shanghai Municipal Education Commission [13ZZ118]
- Shanghai Natural Science Foundation [10ZR1420800]
- Leading Academic Discipline Project of Shanghai Municipal Government
- United Fund of Guizhou Science and Technology Department and Guizhou Minzu University [LKM[2011]14]
- Natural Science Fund of Guizhou Education Department [2010026]
- Key Laboratory Construction Project Pattern Recognition and Intelligent System of Guizhou Province [[2009]4002]
- Graduate Student Education Innovation Fund Message Processing and Pattern Recognition of Guizhou Province
In this paper, we consider the orbital stability of smooth solitary wave solutions of the generalized Camassa-Holm equation. By constructing the functional extremum problem and using the orbital stability theory presented by Grillakis, Shatah, Strauss and Bona, and Souganidis, we show that the solitary wave solutions of the generalized Camassa-Holm equation are orbitally stable or unstable as determined by the sign of a discriminant. The conclusions presented by the previous authors, such as Hakkaev and Kirchev, Constantin and Strauss, can be considered as a special case of our results. (C) 2012 Elsevier Inc. All rights reserved.
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