Propagation of the invariance of germs of solutions of weakly nonlinear differential equations with weighted derivatives (Q1810054)

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scientific article; zbMATH DE number 1928154
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Propagation of the invariance of germs of solutions of weakly nonlinear differential equations with weighted derivatives
scientific article; zbMATH DE number 1928154

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    Propagation of the invariance of germs of solutions of weakly nonlinear differential equations with weighted derivatives (English)
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    15 June 2003
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    This paper deals with the class of weakly nonlinear non-elliptic equations with nonanalytic coefficients. This class contains model equations describing the propagation of nonlinear waves: the nonlinear Schrödinger equation, the Korteweg-de Vries equation, and some others. The author presents various theorems on the propagation of the invariance of germs of solutions of the problems under consideration.
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    weakly nonlinear non-elliptic equations
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    propagation of nonlinear waves
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