Solitary-wave solutions to Boussinesq systems with large surface tension

Min Chen; Nghiem V. Nguyen; Shu-Ming Sun

doi:10.3934/dcds.2010.26.1153

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2010, Volume 26, Issue 4: 1153-1184. Doi: 10.3934/dcds.2010.26.1153

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Solitary-wave solutions to Boussinesq systems with large surface tension

1.
Department of Mathematics, Purdue University, West Lafayette, IN 47907
2.
Department of Mathematics and Statistics, Utah State University, Logan, UT 84322
3.
Department of Mathematics, Virginia Tech, Blacksburg, VA 24061

Received: October 31, 2008

Revised: March 31, 2009

Published: November 2010

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Abstract

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, 76B45.

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