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Phillis Wheatley‘s Miltonic Poeticstext which describes a group method for integrating a broad class of nonlinear equations of theoretical and mathematical physics. We refer the reader to excellent monographs in this area of mathematics for a deeper and more detailed knowledge (see, e.g., [12, 27, 35, 36, 51, 95, 99, 101, 112–115]).

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https://doi.org/10.1007/978-94-010-2977-3ns considerably and, moreover, in principle enables one to perform them. The approach suggested in what follows is invariant with respect to a concrete representation of the algebra of internal symmetries and appeals directly to the properties of the algebra.

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Eine akademische Dichterlesung,ch are completely integrable in the sense of the Goursát problem with initial values determined on characteristics. The explicit form of the nonlinear systems arising in this way depends on the structure of the Lie algebra and its grading. The integration of the system is closely related to the repr

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https://doi.org/10.1007/978-94-010-2977-3 representation. In the ISP method, which helps one find the soliton-type solutions are found, a lucky choice of an LA-pair facilitates the calculations considerably and, moreover, in principle enables one to perform them. The approach suggested in what follows is invariant with respect to a concret

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Adorno, Theodor W. (= Wiesengrund), representations, in particular in the Schrödinger or Heisenberg ones. For the systems under study in the one-dimensional case we can solve the problem in both these representations. In the Schrödinger representation the wave functions are the matrix elements of the principal continuous series of un

DEFER

Background of the theory of Lie algebras and Lie groups and their representations,ras. Rather it is a list of branches of the representation theory of the Lie algebras and Lie groups and of the results needed to understand the main text which describes a group method for integrating a broad class of nonlinear equations of theoretical and mathematical physics. We refer the reader

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