Complex sine-Gordon-2: a new algorithm for multivortex solutions on the plane
Exactly Solvable and Integrable Systems
2009-11-11 v1 Pattern Formation and Solitons
Abstract
We present a new vorticity-raising transformation for the second integrable complexification of the sine-Gordon equation on the plane. The new transformation is a product of four Schlesinger maps of the Painlev\'{e}-V to itself, and allows a more efficient construction of the -vortex solution than the previously reported transformation comprising a product of maps.
Cite
@article{arxiv.nlin/0502048,
title = {Complex sine-Gordon-2: a new algorithm for multivortex solutions on the plane},
author = {N. Olver and I. V. Barashenkov},
journal= {arXiv preprint arXiv:nlin/0502048},
year = {2009}
}
Comments
Part of a talk given at a conference on "Nonlinear Physics. Theory and Experiment", Gallipoli (Lecce), June-July 2004. To appear in a topical issue of "Theoretical and Mathematical Physics". 7 pages, 1 figure