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

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.

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Bursa Uludag University - AVESIS
Published
2025-10-20
Primary Topic
Nonlinear Waves and Solitons
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article

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

Zehra Tat, Emrullah Yaşar
Bursa Uludag University - AVESIS
Nonlinear Waves and Solitons
article

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

Zehra Tat, Emrullah Yaşar
article en

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.

Bursa Uludag University - AVESIS
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Nonlinear Waves and Solitons
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Analysis of the Extended Kadomtsev-Petviashvili Equation: Symmetries, Reductions, and Conservation Laws — Zehra Tat, Emrullah Yaşar · Bursa Uludag University - AVESIS (2025) | TGRS Research Map | TGRS