Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations
Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations
Phan Van Tin
2022 · DOI: 10.1016/j.na.2022.112915
Nonlinear Analysis · 5 Citations
Abstract
. We look for solutions to derivative nonlinear Schrodinger equations built upon soli- tons. We prove the existence of multi-solitons i.e. solutions behaving at large time as the sum of (cid:28)nite solitons. We also show that one can attach a kink at the begin of the sum of solitons i.e multi kink-solitons. Our proofs proceed by (cid:28)xed point arguments around the desired pro(cid:28)le, using Strichartz estimates.
