Mel'nikov analysis of numerically induced chaos in the nonlinear Schrödinger equation
Open Access
- 1 January 1996
- journal article
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 89 (3-4), 227-260
- https://doi.org/10.1016/0167-2789(95)00223-5
Abstract
No abstract availableThis publication has 19 references indexed in Scilit:
- Numerical chaos, roundoff errors, and homoclinic manifoldsPhysical Review Letters, 1993
- Numerical Chaos, Symplectic Integrators, and Exponentially Small Splitting DistancesJournal of Computational Physics, 1993
- Numerically induced chaos in the nonlinear Schrödinger equationPhysical Review Letters, 1989
- Quasi-periodic route to chaos in a near-integrable PDE: Homoclinic crossingsPhysics Letters A, 1988
- Nonlinear self-modulation: An exactly solvable modelPhysical Review A, 1988
- Hamiltonian structure for the modulation equations of a sine-Gordon wavetrainDuke Mathematical Journal, 1987
- A quasi-periodic route to chaos in a near-integrable pdePhysica D: Nonlinear Phenomena, 1986
- Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equationDuke Mathematical Journal, 1985
- Periodic, nonperiodic and irregular motions in a Hamiltonian systemRocky Mountain Journal of Mathematics, 1980
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch pointsCommunications on Pure and Applied Mathematics, 1976