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20062026
most citedOn asymptotic stability in energy space of ground states for Nonlinear Schrödinger equations

89 citations · 190 across the 20 of their papers we have counts for

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math.AP2010★ 3 cited

Stability of the line soliton of the KP-II equation under periodic transverse perturbations

Tetsu Mizumachi, Nikolay Tzvetkov

We prove the nonlinear stability of the KdV solitary waves considered as solutions of the KP-II equation, with respect to periodic transverse perturbations.

math.AP2010

N-soliton states of the FPU lattices

Tetsu Mizumachi

In this paper, we prove existence and uniqueness of solutions to the Fermi Pasta Ulam lattice equation that converge to a sum of co-propagating solitary waves as u…