.png){kind=icon}
返回
Nonlinear self-adjointness through differential substitutions
.png){kind=icon}
PRE
AI
DOI：10.1016/j.cnsns.2014.02.013.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
It is known (Ibragimov, 2011; Galiakberova and Ibragimov, 2013) [14,18] that the property of nonlinear self-adjointness allows to associate conservation laws of the equations under study, with their symmetries. In this paper we show that, even when the equation is nonlinearly self-adjoint with a non differential substitution, finding the explicit form of the differential substitution can provide new conservation laws associated to its symmetries. By using the general theorem on conservation laws (Ibragimov, 2007) [11] and the property of nonlinear self-adjointness we find some new conservation laws for the modified Harry-Dym equation. By using a differential substitution we construct a conservation law for the Harry-Dym equation, which has not been derived before using Ibragimov method. (C) 2014 Elsevier B.V. All rights reserved.
Keyword:
Self-adjointness
Quasi self-adjointness
Weak self-adjointness
Nonlinear self-adjointness
Symmetries
Partial differential equations
Conservation laws
期刊
IF:
3.8
论文数:
9.3K
被引数:
1.8W
机构
暂无机构信息
引用论文
.png){kind=icon}
Detection and sequencing of Potato virus Y (PVY) and Potato leafroll virus (PLRV) in a volunteer plant of Solanum tuberosum L. cv. Diacol-Capiro在马铃薯(Solanum tuberosum L.)品种Diacol-Capiro的野生植株中检测和测序马铃薯Y病毒(PVY)和马铃薯卷叶病毒(PLRV)。
OAAI
OAAI分享收藏Comparison of Soil Extractants and Spectral Reflectance Measurement for Estimation of Available Soil Potassium in Some Ethiopian Soils比较土壤浸提剂与光谱反射率测量法在埃塞俄比亚某些土壤中速效钾含量估算中的应用
PREAI
分享收藏分享收藏
查看更多内容