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

• 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

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.