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    Chapter

    On a Laplace Sequence of Nonlinear Integrable Ernst-Type Equations

    Invariance under Laplace-Darboux-type transformations is established for the 2+1-dimensional Loewner-Konopelchenko-Rogers integrable system. This is exploited to derive a chain of novel, integrable Ernst-type ...

    W. K. Schief, C. Rogers in Algebraic Aspects of Integrable Systems (1997)

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    Chapter

    Ermakov Structure in 2 + 1-Dimensional Systems. Canonical Reduction

    Ermakov-type systems in 2 + 1-dimensions are introduced. Multi-wave solutions of a 2 + 1-dimensional Pinney equation and a modulated 2 + 1-dimensional sine-Gordon equation are constructed via the standard Erma...

    C. Rogers, C. Hoenselaers, U. Ramgulam in Modern Group Analysis: Advanced Analytical… (1993)