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math.AP2001
Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
Yvan Martel, Frank Merle, Tai-Peng Tsai
We prove in this paper the stability and asymptotic stability in H^1 of a decoupled sum of N solitons for the subcritical generalized KdV equations (1<p<5).…
math-ph2001
Relaxation of Excited States in Nonlinear Schrödinger Equations
Tai-Peng Tsai, Horng-Tzer Yau
We consider a nonlinear Schrödinger equation in with a bounded local potential. The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying so…