Traveling Vortex Helices for Schrödinger Map Equations
نویسندگان
چکیده
We construct traveling wave solutions with vortex helix structures for the Schrödinger map equation ∂m ∂t = m× (∆m−m3~e3) on 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.
منابع مشابه
Traveling Vortex Helicies for Schrödinger Map Equation
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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