Titlebook: Direct and Inverse Methods in Nonlinear Evolution Equations; Lectures Given at th Robert M. Conte,Franco Magri,Pavel Winternitz,Anto Book 2

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D?rte Linke,Florian Priesemuth,Rosa Schinaglclasses of solutions particularly stable under the nonlinear interaction. The existence of such solutions represents one of the different aspects of the property of ., and it can be connected to the existence of a . from which a . can be established.

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Salim: ?Ich bin der Vermittler.“ set of differential equations is presented. Special attention is devoted to algorithms for classifying subalgebras of Lie algebras. The concept of conditional symmetries is introduced and applied to perform dimensional reduction.

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https://doi.org/10.1007/b13714Lax Pair; Lie Symmetries; Painlevé Analysis; Poison Pair; Singularity Analysis; calculus; differential equ

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978-3-642-05753-3Springer-Verlag Berlin Heidelberg 2003

訓誡

Nonlinear superposition formulae of integrable partial differential equations by the singular manifclasses of solutions particularly stable under the nonlinear interaction. The existence of such solutions represents one of the different aspects of the property of ., and it can be connected to the existence of a . from which a . can be established.

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The method of Poisson pairs in the theory of nonlinear PDEs, to construct classes of solutions; .vi) the role of the technique of separation of variables in the study of the reduced systems; .vii) some relations intertwining the method of Poisson pairs with the method of Lax pairs.