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Symmetries of the one-dimensional hyperbolic Lagrangian mean curvature flow

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Abstract

The one-dimensional hyperbolic mean curvature flow for Lagrangian graphs is discussed in this paper. In the beginning, infinitesimal generators, symmetry groups and an optimal system of symmetries for the proposed hyperbolic Lagrangian mean curvature flow are obtained based on the Lie symmetry approach. Additionally, several invariant solutions are discovered using reduced equations. More specifically, we use the power series method to attain explicit solutions.

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Acknowledgements

This work was supported by the Natural Science Foundation of Shanxi (No. 202103021224068).

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Authors and Affiliations

  1. College of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, People’s Republic of China

    Ben Gao & Liu Yang

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  1. Ben Gao
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  2. Liu Yang
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Correspondence to Ben Gao.

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Gao, B., Yang, L. Symmetries of the one-dimensional hyperbolic Lagrangian mean curvature flow. Pramana - J Phys 97, 104 (2023). https://doi.org/10.1007/s12043-023-02578-1

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  • DOI: https://doi.org/10.1007/s12043-023-02578-1

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