Numerical simulation of solitons and dromions in the Davey–Stewartson system

✍ Scribed by P.W. White; J.A.C. Weideman

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 757 KB
• Volume: 37
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(94)00032-8

✦ Synopsis

We extend the well-known split-step Fourier method for solving the nonlinear Schrodinger equation to the Davey-Stewartson system. We discuss both the elliptic-hyperbolic and hyperbolic-elliptic cases, as well as the implementation of boundary conditions. Numerical tests, including the simulation of rational solitons and dromions, are presented.