典型文献
Symmetries and conservation laws associated with a hyperbolic mean curvature flow
文献摘要：
Under investigation in this paper is a hyperbolic mean curvature flow for convex evolving curves.Firstly,in view of Lie group analysis,infinitesimal generators,symmetry groups and an optimal system of symmetries of the considered hyperbolic mean curvature flow are presented.At the same time,some group invariant solutions are computed through reduced equations.In particular,we construct explicit solutions by applying the power series method.Furthermore,the convergence of the solutions of power series is certificated.Finally,conservation laws of the hyperbolic mean curvature flow are established via Ibragimov's approach.
文献关键词：
中图分类号：
作者姓名：
GAO Ben;YIN Qing-lian
作者机构：
College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China
文献出处：
引用格式：
[1]GAO Ben;YIN Qing-lian-.Symmetries and conservation laws associated with a hyperbolic mean curvature flow)[J].高校应用数学学报B辑（英文版）,2022(04):583-597
A类：
Symmetries,certificated,Ibragimov
B类：
conservation,laws,associated,hyperbolic,mean,curvature,flow,Under,investigation,this,paper,convex,evolving,curves,Firstly,view,Lie,analysis,infinitesimal,generators,symmetry,groups,optimal,system,symmetries,considered,are,presented,At,same,some,invariant,solutions,computed,through,reduced,equations,In,particular,construct,explicit,by,applying,power,series,method,Furthermore,convergence,Finally,established,via,approach
AB值：
0.567617
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