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October  2010, 26(4): 1153-1184. doi: 10.3934/dcds.2010.26.1153

Solitary-wave solutions to Boussinesq systems with large surface tension

Min Chen 1, , Nghiem V. Nguyen 2, and  Shu-Ming Sun 3,

1. 

Department of Mathematics, Purdue University, West Lafayette, IN 47907
2. 

Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, United States
3. 

Department of Mathematics, Virginia Tech, Blacksburg, VA 24061

Received  November 2008 Revised  April 2009 Published  December 2009

Considered herein are certain Boussinesq systems with the presence of large surface tension. The existence and stability of solitary waves are established using techniques introduced earlier by Buffoni [7] and Lions [9, 10].
Keywords: Solitary-wave solutions, Boussinesq system..
Mathematics Subject Classification: Primary: 35Q35; Secondary: 76B25, 76B4.
Citation: Min Chen, Nghiem V. Nguyen, Shu-Ming Sun. Solitary-wave solutions to Boussinesq systems with large surface tension. Discrete & Continuous Dynamical Systems - A, 2010, 26 (4) : 1153-1184. doi: 10.3934/dcds.2010.26.1153
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