Geodesic
Inelastic collision of two solitons for generalized BBM equation with cubic nonlinearity
Electronic journal of differential equations, Tome 2015 (2015)
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.
Classification : 35Q53, 35C10, 35B35, 35B40
Keywords: generalized benjamin-bona-Mahony equation, cubic nonlinearity, solitary waves, pure 2-soliton, collision 
@article{EJDE_2015__2015__a74,
     author = {Wei,  Jingdong and Tian,  Lixin and Zhen,  Zaili and Gao,  Weiwei},
     title = {Inelastic collision of two solitons for generalized {BBM} equation with cubic nonlinearity},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1321.35206},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a74/}
}
TY  - JOUR
AU  - Wei,  Jingdong
AU  - Tian,  Lixin
AU  - Zhen,  Zaili
AU  - Gao,  Weiwei
TI  - Inelastic collision of two solitons for generalized BBM equation with cubic nonlinearity
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a74/
LA  - en
ID  - EJDE_2015__2015__a74
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%0 Journal Article
%A Wei,  Jingdong
%A Tian,  Lixin
%A Zhen,  Zaili
%A Gao,  Weiwei
%T Inelastic collision of two solitons for generalized BBM equation with cubic nonlinearity
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a74/
%G en
%F EJDE_2015__2015__a74
Wei,  Jingdong; Tian,  Lixin; Zhen,  Zaili; Gao,  Weiwei. Inelastic collision of two solitons for generalized BBM equation with cubic nonlinearity. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a74/