Asymptotic behavior of solutions to the cubic coupled Schrodinger systems in one space dimension

作者：Da Rocha Victor V^*

来源：Dynamics of Partial Differential Equations, 2016, 13(1): 53-74.

• Modified Scattering
• Nonlinear Schrodinger equation

In this paper, we study a coupled nonlinear Schrodinger system with small initial data in the one dimension Euclidean space. Such a system appears in the context of the coupling between two different optical waveguides. We establish an asymptotic nonlinear behavior and a decay estimate for solutions of this system. The proof uses a recent work of Kato and Pusateri.

• 出版日期2016