Nonlinear superposition for Liouville's equation in three spatial dimensions |
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| Authors: | George Leibbrandt |
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| Institution: | (1) Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada |
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| Abstract: | We derive in 3+0 dimensions exact solutions of Liouville's equation
2 =exp , by applying the Bäcklund transformation technique in conjunction with the principle of nonlinear superposition. The procedure, which is later extended to 3+1 dimensions, yield, as a byproduct, particular solutions of
2
 and
2
=exp (2
+2
). |
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| Keywords: | |
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