967 citations
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math.AP2008★ 9 cited
Two soliton solutions to the three dimensional gravitational Hartree equation
Joachim Krieger, Yvan Martel, Pierre Raphael
We construct non dispersive two soliton solutions to the three dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the…
math.AP2007★ 3 cited
Asymptotic stability of solitons of the gKdV equations with general nonlinearity
Yvan Martel, Frank Merle
We consider the generalized Korteweg-de Vries equation \partial_t u + \partial_x (\partial_x^2 u + f(u))=0, \quad (t,x)\in [0,T)\times \mathbb{R}, (1) with general nonlineari…