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| We prove the existence of a new type of solutions to a nonlinear Schrodinger system. These solutions, which we call multi-speeds solitary waves, are behaving at large time as a couple of scalar solitary waves traveling at different speeds. The proof relies on the construction of approximations of the multi-speeds solitary waves by solving the system backwards in time and using energy methods to obtain uniform estimates. We also study numerically the dynamical behavior of these multi-speeds solitary waves |
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