Volume 55, Issue 3
Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow

Han Zhang & Zenggui Wang

J. Math. Study, 55 (2022), pp. 271-280.

Published online: 2022-09

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  • Abstract

By analyzing Lie symmetric algebra of the hyperbolic geometric flow, the one-dimensional optimal system of the symmetries to the equation is obtained, and we use similarity reduction to find the reduced equation. By solving the reduced equations, the invariant solutions of the hyperbolic geometric flow are finally obtained.

  • AMS Subject Headings

22E46, 53C35, 57S20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zh19960604@163.com (Han Zhang)

wangzenggui@lcu.edu.cn (Zenggui Wang)

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@Article{JMS-55-271, author = {Zhang , Han and Wang , Zenggui}, title = {Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow}, journal = {Journal of Mathematical Study}, year = {2022}, volume = {55}, number = {3}, pages = {271--280}, abstract = {

By analyzing Lie symmetric algebra of the hyperbolic geometric flow, the one-dimensional optimal system of the symmetries to the equation is obtained, and we use similarity reduction to find the reduced equation. By solving the reduced equations, the invariant solutions of the hyperbolic geometric flow are finally obtained.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v55n3.22.04}, url = {http://global-sci.org/intro/article_detail/jms/20976.html} }
TY - JOUR T1 - Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow AU - Zhang , Han AU - Wang , Zenggui JO - Journal of Mathematical Study VL - 3 SP - 271 EP - 280 PY - 2022 DA - 2022/09 SN - 55 DO - http://doi.org/10.4208/jms.v55n3.22.04 UR - https://global-sci.org/intro/article_detail/jms/20976.html KW - Lie symmetry analysis, hyperbolic geometric flow, one-dimensional optimal system, invariant solutions. AB -

By analyzing Lie symmetric algebra of the hyperbolic geometric flow, the one-dimensional optimal system of the symmetries to the equation is obtained, and we use similarity reduction to find the reduced equation. By solving the reduced equations, the invariant solutions of the hyperbolic geometric flow are finally obtained.

Han Zhang & Zenggui Wang. (2022). Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow. Journal of Mathematical Study. 55 (3). 271-280. doi:10.4208/jms.v55n3.22.04
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