Special Session 51: Integrable Aspects and Asymptotics of Nonlinear Evolution Equations

Numerical Computation for long time behavior for derivative nonlinear schrodinger eqution

Zhen Wang
Beihang University
Peoples Rep of China
Co-Author(s):    
Abstract:
Decay properties of water waves is related to the long time behavior of governing equation. Its leading order asymptotic expression may be given by phase stationary method for linear and by Riemann Hilbert method for nonlinear integrable system. Numerical solution for long time behavior of derivative schrodinger equation is explored, it has advantages on avoiding the error cumulative of long time evolution.