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Journal articles
Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations
Abstract : Multi-soliton solutions, i.e. solutions behaving as the sum of N given solitons as $t\to +\infty$, were constructed in previous works for the L2 critical and subcritical (NLS) and (gKdV) equations. In this paper, we extend the construction of multi-soliton solutions to the L2 supercritical case both for (gKdV) and (NLS) equations, using a topological argument to control the direction of instability.
Cited literature [34 references]
https://hal.archives-ouvertes.fr/hal-00385072
Contributor : Raphaël Côte <>
Submitted on : Friday, February 14, 2020 - 10:29:13 AM
Last modification on : Tuesday, December 8, 2020 - 10:29:19 AM
Long-term archiving on: : Friday, May 15, 2020 - 1:22:11 PM
Contributor : Raphaël Côte <>
Submitted on : Friday, February 14, 2020 - 10:29:13 AM
Last modification on : Tuesday, December 8, 2020 - 10:29:19 AM
Long-term archiving on: : Friday, May 15, 2020 - 1:22:11 PM
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euclid.rmi.1296828835.pdf
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