Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II

Symmetry Integrability and Geometry-Methods and Applications

article

Hideshi Yamane¹ 

[1] Department of Mathematical Sciences, Kwansei Gakuin University

关键词: discrete nonlinear Schr¨odinger equation;    nonlinear steepest descent;    Painlev´e equation;   

DOI  :  10.3842/SIGMA.2015.020

来源: National Academy of Science of Ukraine

【 摘 要 】

We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation. If $|n|$ $2t$, the solution decays more rapidly than any negative power of $n$.

【 授权许可】

Unknown