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 $u_t+(u_{xx}+u^p{)}_x=0$ (1<p<5).…