Analysis of the Extended Kadomtsev-Petviashvili Equation: Symmetries, Reductions, and Conservation Laws

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Tat Z., Yaşar E.

International Conference on Mathematics and Computers with Applications, İstanbul, Turkey, 16 - 18 July 2025, pp.568-581, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.568-581
  • Bursa Uludag University Affiliated: Yes

Abstract

This work considers the (2+1)-dimensional extended Kadomtsev-Petviashvili (eKP) equation. It models weakly dispersive nonlinear waves in multidimensional fluid and plasma systems. We perform Lie symmetry analysis, tanh method and multiplier method. Thus, we get Lie point symmetry generators, symmetry reductions, exact solutions and local conservation laws.

Keywords: Lie symmetry analysis, extended Kadomtsev–Petviashvili equation, conservation laws, multiplier method, tanh method.