On the reflection of solitons of the cubic nonlinear Schrodinger equation

作者：Katsaounis Theodoros; Mitsotakis Dimitrios^*

来源：Mathematical Methods in the Applied Sciences, 2018, 41(3): 1013-1018.

DOI：10.1002/mma.4070

• nonlinear Schrodinger equation
• relaxation method
• soliton reflection
• dark and bright solitons

In this paper, we perform a numerical study on the interesting phenomenon of soliton reflection of solid walls. We consider the 2D cubic nonlinear Schrodinger equation as the underlying mathematical model, and we use an implicit-explicit type Crank-Nicolson finite element scheme for its numerical solution. After verifying the perfect reflection of the solitons on a vertical wall, we present the imperfect reflection of a dark soliton on a diagonal wall.

• 出版日期2018-2
• 单位KAUST