Basic dynamic properties of the high-order nonlinear Schrödinger equation
作者： Cangtao Zhou , X. T. He , Shigang Chen
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摘要: The dynamic behavior of the nonlinear Schr\"odinger equation (NSE) with an additional high-order Hamiltonian perturbation that displays a interaction between Langmuir waves and electrons in plasmas is studied. It shown periodic solutions, solitary waves, recurrence exist, which are also inherent cubic NSE. A more important phenomenon, stochasticity, has been found such continuum system. This phenomenon illustrates nonintegrability arises from perturbation. In addition, our numerical results show recurrence, sensitively depends on initial conditions, only special feature
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