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<p>Lie point symmetries of the (2+1) sine-Gordon (S-G) equation are shown to be infinite. Through resultant similarity transformations, reduction of the equation is presented. The finite cases of symmetries are employed to obtain one-dimensional optimal system of subalgebras. Finally, Noether symmetries are utilized to determine conserved vectors for both finite and infinite cases.</p>

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New symmetry solutions via optimal system and conservation laws of multidimensional sine-Gordon equation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月16日

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  • Zain Majeed,
  • Fazal M. Mahomed,
  • F. D. Zaman

摘要

Lie point symmetries of the (2+1) sine-Gordon (S-G) equation are shown to be infinite. Through resultant similarity transformations, reduction of the equation is presented. The finite cases of symmetries are employed to obtain one-dimensional optimal system of subalgebras. Finally, Noether symmetries are utilized to determine conserved vectors for both finite and infinite cases.