Soliton-Like Solution of an Extended NLS Equation Existing in Resonance with Linear Dispersive Waves

概要

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An extended nonlinear Schr6dinger equation, with positive fourth-order dispersion and a quin-tic nonlinearity, is shown to possess a soliton-like solution which exists in resonance with lineardispersive wax'es, but emits no radiation at all. When this solution is pertttrbed the emissionof radiation begins. An approxinuate variational analysis and direct numerical integrations arecarried out to show that this soliton-like solution is robust enough to resist srt?all perturbationswithout being dispersed away. Initial conditions which are close to the exact solution evolve intoqtrasi-stationary solutions which emit radiation, but rnaintain their shapes over extremely longdistances.
社団法人日本物理学会の論文
1997-09-15