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On the conservation laws of PDEs - MaRDI portal

On the conservation laws of PDEs (Q910080)

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scientific article; zbMATH DE number 4138826
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On the conservation laws of PDEs
scientific article; zbMATH DE number 4138826

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    On the conservation laws of PDEs (English)
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    1988
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    The covariance of methods for obtaining conservation laws for nonlinear partial differential equations is studied [the second author, Riv. Nuovo Cim. 5, No.4, 1-122 (1982; see the review above) and \textit{A. M. Vinogradov}, J. Math. Anal. Appl. 100, 41-129 (1985; Zbl 0548.58015)]. In particular, it is shown that the second author's method is absolutely covariant, whereas in the nonlinear case Vinogradov's method is not fully covariant.
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    conservation laws for nonlinear partial differential equations
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