Jingdong Wei, Lixin Tian, Zaili Zhen, Weiwei Gao
Abstract:
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.
Submitted September 26, 2014. Published June 6, 2015.
Math Subject Classifications: 35Q53, 35C10, 35B35, 35B40.
Key Words: Generalized Benjamin-Bona-Mahony equation; cubic nonlinearity;
solitary waves; pure 2-soliton; collision.
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Jingdong Wei Nonlinear Scientific Research Center Jiangsu University Zhenjiang, Jiangsu 212013, China email: wjd19871022@126.com |
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Lixin Tian Nonlinear Scientific Research Center Jiangsu University Zhenjiang, Jiangsu 212013, China email: tianlx@ujs.edu.cn, tianlixin@njnu.edu.cn |
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Zaili Zhen Nonlinear Scientific Research Center Jiangsu University Zhenjiang, Jiangsu 212013, China email: lddcb@126.com |
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Weiwei Gao Nonlinear Scientific Research Center Jiangsu University Zhenjiang, Jiangsu 212013, China email: yeahgaoweiwei@163.com |
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