Abstract
In the two preceding chapters, we have considered a variety of (2+l)-dimensional nonlinear systems integrable by the IST method. The latter procedure relies on the existence of an appropriate linear system whose compatibility condition is equivalent to the nonlinear system under consideration. No general criteria for the applicability of the IST method to a nonlinear system are presently available. Accordingly, each specific case requires a separate investigation.
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© 1992 Springer Science+Business Media New York
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Konopelchenko, B.G. (1992). General Methods for the Construction of (2+1)-Dimensional Integrable Equations. τ-Function and ∂̄-Dressing Methods. In: Rogers, C. (eds) Introduction to Multidimensional Integrable Equations. Plenum Monographs in Nonlinear Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1170-4_4
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DOI: https://doi.org/10.1007/978-1-4899-1170-4_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1172-8
Online ISBN: 978-1-4899-1170-4
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