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2014 Comment on “Conservation Laws of Two (2 + 1)-Dimensional Nonlinear Evolution Equations with Higher-Order Mixed Derivatives”
Long Wei, Yang Wang
Abstr. Appl. Anal. 2014: 1-4 (2014). DOI: 10.1155/2014/264049

Abstract

In a recent paper (Zhang (2013)), the author claims that he has proposed two rules to modify Ibragimov’s theorem on conservation laws to “ensure the theorem can be applied to nonlinear evolution equations with any mixed derivatives.” In this letter, we analysis the paper. Indeed, the so-called “modification rules” are needless and the theorem of Ibragimov can be applied to construct conservation laws directly for nonlinear equations with any mixed derivatives as long as the formal Lagrangian is rewritten in symmetric form. Moreover, the conservation laws obtained by the so-called “modification rules” in the paper under discussion are equivalent to the one obtained by Ibragimov’s theorem.

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Long Wei. Yang Wang. "Comment on “Conservation Laws of Two (2 + 1)-Dimensional Nonlinear Evolution Equations with Higher-Order Mixed Derivatives”." Abstr. Appl. Anal. 2014 1 - 4, 2014. https://doi.org/10.1155/2014/264049

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07022045
MathSciNet: MR3166586
Digital Object Identifier: 10.1155/2014/264049

Rights: Copyright © 2014 Hindawi

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