Lie symmetry, power series solutions and conservation laws of a damped hyperbolic mean curvature flow

IF 1.3 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-15 Epub Date: 2026-02-17 DOI:10.1016/j.jmaa.2026.130507

Tianao Zheng, Haoyu Xu, Zenggui Wang

引用次数: 0

Abstract

By means of Lie symmetry method, this paper constructs exact solutions of a damped hyperbolic mean curvature flow. The infinitesimal generators, commutative relation, and the optimal system for the damped hyperbolic flow are analysed. The power series solutions are constructed in terms of the power series method. Subsequently, the exact periodic solutions are constructed. Finally, Ibragimov's method is employed to obtain the conservation laws of the hyperbolic flow.

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阻尼双曲平均曲率流的李对称、幂级数解和守恒定律

利用李氏对称方法，构造了一类阻尼双曲平均曲率流的精确解。分析了阻尼双曲流的无穷小发生器、交换关系和最优系统。幂级数解是用幂级数法构造的。然后，构造了精确周期解。最后，利用伊布拉吉莫夫方法得到了双曲流的守恒定律。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.