Exponential stability estimate for the derivative nonlinear Schrödinger equation*
Hongzi Cong, Lufang Mi, Xiaoqing Wu, Qidi Zhang
Abstract
Abstract In this paper, we prove an exponential long time stability result for the derivative nonlinear Schödinger equation (DNLS) in some Sobolev space by using Birkhoff normal form technique and some suitable nonresonant conditions.
Topics & Concepts
MathematicsSobolev spaceExponential functionNonlinear systemDerivative (finance)Stability (learning theory)Nonlinear Schrödinger equationMathematical analysisExponential growthExponential stabilitySpace (punctuation)Applied mathematicsSchrödinger equationPhysicsQuantum mechanicsLinguisticsMachine learningFinancial economicsComputer sciencePhilosophyEconomicsAdvanced Mathematical Physics ProblemsNumerical methods for differential equationsStability and Controllability of Differential Equations