Multi solitary waves for nonlinear Schrödinger equations |
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| Authors: | Yvan Martel Frank Merle |
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| Affiliation: | aDépartement de Mathématiques, Université de Versailles-Saint-Quentin-en-Yvelines, 45, av. des Etats-Unis, 78035 Versailles cedex, France;bDépartement de Mathématiques, Université de Cergy-Pontoise, 2, av. Adolphe-Chauvin, 95302 Cergy-Pontoise cedex, France |
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| Abstract: | We consider the nonlinear Schrödinger equation in  for any d 1, with a nonlinearity such that solitary waves exist and are stable. Let Rk(t,x) be K arbitrarily given solitary waves of the equation with different speeds v1,v2,…,vK. In this paper, we prove that there exists a solution u(t) of the equation such that |
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| Keywords: | Nonlinear Schrö dinger equations Multi solitary waves Asymptotic behavior |
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