文献类型：期刊文献

中文题名：Conservation laws for variable coefficient nonlinear wave equations with power nonlinearities

英文题名：Conservation laws for variable coefficient nonlinear wave equations with power nonlinearities

作者：Huang Ding-Jiang[1,2,3];Zhou Shui-Geng[2,3];Yang Qin-Min[1]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China;[3]Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China

年份：2011

卷号：20

期号：7

中文期刊名：Chinese Physics B

外文期刊名：CHINESE PHYSICS B

收录：CSTPCD;;EI(收录号：20113114194903);Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000293175900002)】；CSCD:【CSCD2011_2012】；

基金：Project supported by the National Key Basic Research Program of China (Grant No. 2010CB126600), the National Natural Science Foundation of China (Grant No. 60873070), the Shanghai Leading Academic Discipline Project, China (Grant No. B114), the Postdoctoral Science Foundation of China (Grant No. 20090450067), the Shanghai Postdoctoral Sustentation Foundation, China (Grant No. 09R21410600), and the Fundamental Research Funds for the Central Universities, China (Grant No. WM0911004).

语种：英文

中文关键词：nonlinear wave equations;conservation laws;equivalence group;symmetries

外文关键词：nonlinear wave equations; conservation laws; equivalence group; symmetries

摘要：Conservation laws for a class of variable coefficient nonlinear wave equations with power nonlinearities are investigated. The usual equivalence group and the generalized extended one including transformations which are nonlocal with respect to arbitrary elements are introduced. Then, using the most direct method, we carry out a classification of local conservation laws with characteristics of zero order for the equation under consideration up to equivalence relations generated by the generalized extended equivalence group. The equivalence with respect to this group and the correct choice of gauge coefficients of the equations play the major roles for simple and clear formulation of the final results.
Conservation laws for a class of variable coefficient nonlinear wave equations with power nonlinearities are investigated. The usual equivalence group and the generalized extended one including transformations which are nonlocal with respect to arbitrary elements are introduced. Then, using the most direct method, we carry out a classification of local conservation laws with characteristics of zero order for the equation under consideration up to equivalence relations generated by the generalized extended equivalence group. The equivalence with respect to this group and the correct choice of gauge coefficients of the equations play the major roles for simple and clear formulation of the final results.