Abstract
We consider the generalized KdV equation with nonlinearity u4 and small dispersion ε. Our main result consists in the conclusion that, in the leading term with respect to ε, the solitary waves interact in this model like KdV solitons but both small corrections of the soliton parameters and small radiation term appear as a result of the waves collision. Our main tool is the numerical simulation.
Original language | English |
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Pages (from-to) | 2724-2733 |
Number of pages | 10 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 19 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2014 |
Bibliographical note
Funding Information:The research was supported by SEP-CONACYT under Grant 178690 (Mexico).
Keywords
- Finite differences scheme
- Generalized Korteweg-de Vries equation
- Interaction
- Soliton
- Weak asymptotics method