Multi-Soliton Solutions for the Supercritical gKdV Equations

@inproceedings{Combet2010MultiSolitonSF,
  title={Multi-Soliton Solutions for the Supercritical gKdV Equations},
  author={Vianney Combet},
  year={2010}
}
For the L subcritical and critical (gKdV) equations, Martel [11] proved the existence and uniqueness of multi-solitons. Recall that for any N given solitons, we call multi-soliton a solution of (gKdV) which behaves as the sum of these N solitons asymptotically as t → +∞. More recently, for the L supercritical case, Côte, Martel and Merle [4] proved the existence of at least one multi-soliton. In the present paper, as suggested by a previous work concerning the one soliton case [3], we first… CONTINUE READING

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