Numerically induced chaos in the nonlinear Schrödinger equation.
作者： B. M. Herbst , Mark J. Ablowitz
DOI: 10.1103/PHYSREVLETT.62.2065
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摘要: The cubic nonlinear Schr\"odinger equation and some of its discretizations, one which is integ- rable, are studied. Apart from the integrable version discretizations produce chaotic solutions for intermediate levels mesh (mode) refinement. Chaos disappears when discretization fine enough convergence to a quasiperiodic solution obtained. Details given finite difference calculations, although similar results also obtained by Fourier spectral methods. Results regarding forced briefly described.
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