Abstract
The twistor space construction, due to Mason and Sparling, for solutions of the nonlinear Schrödinger and Korteweg–deVries hierarchies is generalized, resulting in families of integrable models in (2+1) dimensions. Soliton solutions to one such hierarchy [associated with the gauge group SU(2)] are constructed by adapting the methods used to construct instanton and monopole solutions. These integrable models have the feature that their solutions depend on a number of arbitrary functions as well as arbitrary constants, in contrast to the closely related Davey–Stewartson hierachy.
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