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Dressing procedure for solutions of non-linear equations and the method of operator identities. (English) Zbl 0805.35129

Summary: A general dressing procedure (iterated Darboux transformation) for solutions of nonlinear equations with one or two spatial variables is constructed.

MSC:

35Q58 Other completely integrable PDE (MSC2000)
58J72 Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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