Traveling Vortex Helicies for Schrödinger Map Equation

نویسندگان

  • JUNCHENG WEI
  • JUN YANG
چکیده

We construct traveling wave solutions with vortex helices for the Schrödinger map equation ∂m ∂t = m× (∆m−m3~e3) in R × R, of the form m(s1, s2, s3 − δ| log | t) with traveling velocity δ| log | along the direction of s3 axis. We use a perturbation approach which gives a complete characterization of the asymptotic behavior of the solutions.

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تاریخ انتشار 2012