<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The extended Kadomtsev-Petviashvili (eKP) equation in fluids is investigated by using Lie symmetry analysis. The symmetry reductions, together with the simplest equation method, are used to obtain exact solutions of the eKP equation. Finally, we derive the conservation laws of eKP by using multiplier approach.</p>
</abstract>

The extended Kadomtsev-Petviashvili (eKP) equation in fluids is investigated by using Lie symmetry analysis. The symmetry reductions, together with the simplest equation method, are used to obtain exact solutions of the eKP equation. Finally, we derive the conservation laws of eKP by using multiplier approach.

Symmetry analysis and exact solutions of extended Kadomtsev-Petviashvili equation in fluids

Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

The extended Kadomtsev-Petviashvili (eKP) equation in fluids is investigated by using Lie symmetry analysis. The symmetry reductions, together with the...

Symmetry analysis and exact solutions of extended Kadomtsev-Petviashvili equation in fluids

Publié en ligne: 25 nov. 2022

Pages: 361 - 370

Reçu: 23 juin 2022

Accepté: 18 oct. 2022

DOI: https://doi.org/10.2478/amns.2021.2.00323

Mots clés
extended Kadomtsev-Petviashvili equation, Lie symmetry analysis, simplest equation method, conservation laws

© 2023 Christina Majola et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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Symmetry analysis and exact solutions of extended Kadomtsev-Petviashvili equation in fluids

Publié en ligne: 25 nov. 2022

Pages: 361 - 370

Reçu: 23 juin 2022

Accepté: 18 oct. 2022

DOI: https://doi.org/10.2478/amns.2021.2.00323

Mots clésextended Kadomtsev-Petviashvili equation, Lie symmetry analysis, simplest equation method, conservation laws

© 2023 Christina Majola et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Mots clés
extended Kadomtsev-Petviashvili equation, Lie symmetry analysis, simplest equation method, conservation laws