Note on Coupled Linear Systems Related to Two Soliton Collision for the Quartic gKdV Equation
نویسندگان
چکیده
منابع مشابه
On the Inelastic 2-soliton Collision for Gkdv Equations with General Nonlinearity
We study the problem of 2-soliton collision for the generalized Korteweg-de Vries equations, completing some recent works of Y. Martel and F. Merle [22, 23]. We classify the nonlinearities for which collisions are elastic or inelastic. Our main result states that in the case of small solitons, with one soliton smaller than the other one, the unique nonlinearities allowing a perfectly elastic co...
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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 Complutense
سال: 2008
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.2008.v21.n2.16378