Dual 1490-11490-11490-1-problem, (2+1)-dimensional intergrable nonlinear evolution equations and their reductions
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For a compact description of integrable systems of partial derivative equations (PDE), with singular dispersion relations in (2+1)-dimensions, the dual\(\bar \partial \)-problem with arbitrary normalization is used. Symmetry reductions and the corresponding Lax representations are discussed. The singular KP-hierarchy, as well as the Schrödinger equation with a magnetic field, are considered as examples.
KeywordsMagnetic Field Dispersion Relation Evolution Equation Integrable System Nonlinear Evolution
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