Construction of multi-soliton solutions for the $L^2$-supercritical gKdV and NLS equations
نویسندگان
چکیده
منابع مشابه
Multi-soliton solutions for the supercritical gKdV equations
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. I...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2011
ISSN: 0213-2230
DOI: 10.4171/rmi/636