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    Chapter

    On Gasdynamic-Solitonic Connections

    A link between a class of infinitesimal Bäcklund transformations of the hodograph equations of isentropic gasdynamics and novel 2 + 1-dimensional integrable systems is reviewed. In addition, it is noted that a...

    C. Rogers in Applications of Analytic and Geometric Met… (1993)

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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)