Solitary-wave solutions to Boussinesq systems with large surface tension

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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

Abstract
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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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