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

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...

Full description

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:
Generalized Benjamin-Bona-Mahony equation
cubic nonlinearity
solitary waves
pure 2-soliton
collision
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

Similar Items