-
31浏览
-
0点赞
-
0收藏
-
0分享
-
175下载
-
0评论
-
引用
期刊论文
Potential symmetries to systems of nonlinear diffusion equations
J. Phys. A: Math. Theor. 40 (2007) 1757-1773,-0001,():
In this paper, the potential symmetry method is developed to study systems of nonlinear diffusion equations. Potential variables of the systems are introduced through conservation laws; such conservation laws yield equivalent systemsauxiliary systems of PDEs with the given dependent and potential variables as new dependent variables. Lie point symmetries of the auxiliary systems which cannot be projected to the vector fields of the given dependent and independent variables yield potential symmetries of the systems. Classification for systems of nonlinear diffusion equations with two and three components is performed. Symmetry reductions associated with the potential symmetries are presented.
【免责声明】以下全部内容由[屈长征]上传于[2007年11月09日 09时51分35秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。
本学者其他成果
同领域成果