Title

Lie group method for solving the negative-order kadomtsev–petviashvili equation (Nkp)

Funding Sponsor

American University

Third Author's Department

Physics Department

Find in your Library

https://doi.org/10.3390/sym13020224

Document Type

Research Article

Publication Title

Symmetry

Publication Date

2-1-2021

doi

10.3390/sym13020224

Abstract

A comprehensive study of the negative-order Kadomtsev–Petviashvili (nKP) partial differential equation by Lie group method has been presented. Initially the infinitesimal generators and symmetry reduction, which were obtained by applying the Lie group method on the negative-order Kadomtsev–Petviashvili equation, have been used for constructing the reduced equations. In particular, the traveling wave solutions for the negative-order KP equation have been derived from the reduced equations as an invariant solution. Finally, the extended improved (G' / G) method and the extended tanh method are described and applied in constructing new explicit expressions for the traveling wave solutions. Many new and more general exact solutions are obtained.

First Page

1

Last Page

19

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