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# Multi-Soliton Solutions for the Supercritical gKdV Equations

@inproceedings{Combet2010MultiSolitonSF, title={Multi-Soliton Solutions for the Supercritical gKdV Equations}, author={Vianney Combet}, year={2010} }

- Published 2010
DOI:10.1080/03605302.2010.503770

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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