2 papers
math.AP2010
Multi-existence of multi-solitons for the supercritical nonlinear Schrödinger equation in one dimension
Vianney Combet
For the L2 supercritical generalized Korteweg-de Vries equation, we proved in a previous article the existence and uniqueness of an N-parameter family of N-solitons. Recall that, f…
math.AP2010
Multi-soliton solutions for the supercritical gKdV equations
Vianney Combet
For the L^2 subcritical and critical (gKdV) equations, Martel proved the existence and uniqueness of multi-solitons. Recall that for any N given solitons, we call multi-soliton a s…