Global dynamics around and away from solitons

  • Kenji Nakanishi

    Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
Global dynamics around and away from solitons cover
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Abstract

This article reviews some results, as well as open questions, on global behavior of general solutions for nonlinear dispersive equations, with an emphasis on transitions of solutions around solitons with respect to time evolution and initial perturbation.