The Physics of Fluids · 1978 · 44 citations · 2 references
Spectral TheoryQuantum ScienceFermi–pasta–ulam RecurrencePeriodic Boundary ConditionsEngineeringQuantum DynamicPhysicsMany-body Quantum PhysicQuantum Field TheoryFermi–pasta–ulam Recurrence PhenomenonLong-time EvolutionNonlinear EquationPeriodic Travelling WaveIntegrable System
Numerical solutions of the two-space dimensional nonlinear Schrödinger equation with spatially periodic boundary conditions have been obtained. It has been found that the long-time evolution exhibits the Fermi–Pasta–Ulam recurrence phenomenon for a wide range of initial conditions.
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