Inelastic collision of two solitons for generalized BBM equation with cubic nonlinearity

We study the inelastic collision of two solitary waves of different velocities for the generalized Benjamin-Bona-Mahony (BBM) equation with cubic nonlinearity. It shows that one solitary wave is smaller than the other one in the H^1(R) energy space. We explore the sharp estimates of the nonze...

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Bibliographic Details
Main Authors: Jingdong Wei, Lixin Tian, Zaili Zhen, Weiwei Gao
Format: Article
Language:English
Published: Texas State University 2015-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/147/abstr.html
Description
Summary:We study the inelastic collision of two solitary waves of different velocities for the generalized Benjamin-Bona-Mahony (BBM) equation with cubic nonlinearity. It shows that one solitary wave is smaller than the other one in the H^1(R) energy space. We explore the sharp estimates of the nonzero residue due to the collision, and prove the inelastic collision of two solitary waves and nonexistence of a pure 2-soliton solution.
ISSN:1072-6691