Asymptotics behavior for the integrable nonlinear Schrodinger equation with quartic terms: Cauchy problem
Asymptotics behavior for the integrable nonlinear Schrodinger equation with quartic terms: Cauchy problem
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带四次项的可积非线性薛定谔方程的渐近行为：柯西问题
DOI：
10.1080/14029251.2020.1819605
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发表时间：
2020
影响因子：
0.7
通讯作者：
Lin Huang
中科院分区：
文献类型：
--
作者：
Lin Huang
考虑具有四次项的可积非线性Schrödinger方程的Cauchy问题。本文的第一部分通过统一方法（也称为福卡斯方法）考虑黎曼-希尔伯特公式。第二部分利用非线性最陡下降法（又称Deift-Zhou法）建立初值问题解的渐近公式。
We consider the Cauchy problem of integrable nonlinear Schrödinger equation with quartic terms on the line. The first part of the paper considers the Riemann-Hilbert formula via the unified method(also known as the Fokas method). The second part of the paper establishes asymptotic formulas for the solution of initial value problem using the nonlinear steepest descent method(also known as the Deift-Zhou method).