In this paper, we perform a numerical study on the interesting phenomenon of soliton reflection of solid walls. We consider the 2D cubic nonlinear Schrödinger 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.
|Original language||English (US)|
|Number of pages||6|
|Journal||Mathematical Methods in the Applied Sciences|
|State||Published - Jul 5 2016|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Victoria University of Wellington