1. Long time behavior of solutions of gKdV equations
- Author
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Wang, Ming, Li, Dongfang, Zhang, Chengjian, and Tang, Yanbin
- Subjects
- *
KORTEWEG-de Vries equation , *NUMERICAL analysis , *EXISTENCE theorems , *MATHEMATICAL proofs , *ATTRACTORS (Mathematics) , *MATHEMATICAL analysis - Abstract
Abstract: In this paper we consider the long time behavior of solutions of a version of gKdV equation on the real line. The existence of the global attractor in is proved when the force f belongs to . Moreover, we investigate the change of the attractor according to the change of f and the coefficient γ of damping term. Finally, several numerical experiments confirm all the theoretical conclusions. [Copyright &y& Elsevier]
- Published
- 2012
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