I V Barashenkov et al 2002 Nonlinearity 15 2121 doi:10.1088/0951-7715/15/6/317
I V Barashenkov, V S Shchesnovich1 and R M Adams
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We construct explicit multivortex solutions for the complex sine-Gordon equation (the Lund–Regge model) in two Euclidean dimensions. Unlike the previously found (coaxial) multivortices, the new solutions comprise n single vortices placed at arbitrary positions (but confined within a finite part of the plane.) All multivortices, including the single vortex, have an infinite number of parameters. We also show that, in contrast to the coaxial complex sine-Gordon multivortices, the axially-symmetric solutions of the Ginzburg–Landau model (the stationary Gross–Pitaevskii equation) do not belong to a broader family of noncoaxial multivortex configurations.
02.30.Jr Partial differential equations
35Q51 Solitons (See also 37K40)
Issue 6 (November 2002)
Received 13 February 2002, in final form 29 August 2002
Published 14 October 2002
I V Barashenkov et al 2002 Nonlinearity 15 2121
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