ar X iv : s ol v - in t / 9 60 40 03 v 1 1 7 A pr 1 99 6
نویسندگان
چکیده
The Estabrook-Wahlquist prolongation method is applied to the (compact and noncompact) continuous isotropic Heisenberg model in 1 + 1 dimensions. Using a special realization (an algebra of the Kac-Moody type) of the arising incomplete prolongation Lie algebra, a whole family of nonlinear field equations containing the original Heisenberg system is generated. 1 1. In the study of nonlinear field equations (NLF), the Estabrook-Wahlquist (EW) prolongation method [1] constitutes a systematic analytical procedure which enables one, in principle, to associate a linear problem with the equation under consideration. Within the EW method, one has that nonlinear prolongation algebras are related to integrable NLF equations which can be expressed by means of closed differential ideals. Such algebras arise via the introduction of an arbitrary number of prolongation forms containing new dependent variables (called pseudopotentials),
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