AFFINE SOLITONS: A RELATION BETWEEN TAU FUNCTIONS, DRESSING AND BÄCKLUND TRANSFORMATIONS
1993 ◽
Vol 08
(03)
◽
pp. 507-543
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Keyword(s):
We reconsider the construction of solitons by dressing transformations in the sine-Gordon model. We show that the N-soliton solutions are in the orbit of the vacuum, and we identify the elements in the dressing group which allow us to build the N-soliton solutions from the vacuum solution. The dressed τ functions can be computed in two different ways: either using adjoint actions in the affine Lie algebra [Formula: see text], and this gives the relation with the Bäcklund transformations, or using the level-one representations of the affine Lie algebra [Formula: see text], and this directly gives the formulae for the τ functions in terms of vertex operators.
1984 ◽
Vol 17
(7)
◽
pp. 1415-1424
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1976 ◽
Vol 351
(1666)
◽
pp. 407-422
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1990 ◽
Vol 31
(5)
◽
pp. 1126-1132
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Keyword(s):
2008 ◽
Vol 23
(14n15)
◽
pp. 2237-2238
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2019 ◽
Vol 34
(25)
◽
pp. 1950142
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2016 ◽
Vol 30
(03)
◽
pp. 1650008
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