Comment on “Conservation Laws of Two(2 + 1)-Dimensional Nonlinear Evolution Equations with Higher-Order Mixed Derivatives”

Abstract and Applied Analysis

Letter to the Editor

Yang Wang¹  Long Wei¹ 

[1] Department of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, China, hdu.edu.cn

Others  :  1319702
DOI  :  10.1155/2014/264049

 received in 2013-10-30, accepted in 2013-11-28,  发布年份 2014

【 摘 要 】

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.

【 授权许可】

CC BY   
Copyright © 2014 Long Wei and Yang Wang. 2014

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