2 papers
math.AP2012
Local Dynamics Near Unstable Branches of NLS Solitons
Vianney Combet, Tai-Peng Tsai, Ian Zwiers
Consider a branch of unstable solitons of NLS whose linearized operators have one pair of simple real eigenvalues in addition to the zero eigenvalue. Under radial symmetry and stan…
math.AP2009
Construction and characterization of solutions converging to solitons for supercritical gKdV equations
Vianney Combet
We consider the generalized Korteweg-de Vries equation in the supercritical case, and we are interested in solutions which converge to a soliton in large time in H^1. In the subcri…