Numerically induced chaos in the nonlinear Schrödinger equation
- 1 May 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (18) , 2065-2068
- https://doi.org/10.1103/physrevlett.62.2065
Abstract
The cubic nonlinear Schrödinger equation and some of its discretizations, one of which is integ- rable, are studied. Apart from the integrable version the discretizations produce chaotic solutions for intermediate levels of mesh (mode) refinement. Chaos disappears when the discretization is fine enough and convergence to a quasiperiodic solution is obtained. Details are given for finite difference calculations, although similar results are also obtained by Fourier spectral methods. Results regarding a forced nonlinear Schrödinger equation are briefly described.Keywords
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