A note on the invariance properties and conservation laws of the Kadomstev - Petviashvili equation with power law nonlinearity

A. H. Bokhari; F. D. Zaman; K. Fakhar; A. H. Kara

doi:10.1088/0256-307X/28/9/090204

A note on the invariance properties and conservation laws of the Kadomstev - Petviashvili equation with power law nonlinearity

A. H. Bokhari
, F. D. Zaman
, K. Fakhar^*
, A. H. Kara

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

First, we studied the invariance properties of the Kadomstev - Petviashvili equation with power law nonlinearity. Then, we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the equation. The point symmetry generators were also used to reduce the equation to an exact solution and to verify the invariance properties of the conserved flows.

Original language	English
Article number	090204
Journal	Chinese Physics Letters
Volume	28
Issue number	9
DOIs	https://doi.org/10.1088/0256-307X/28/9/090204
State	Published - Sep 2011

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1088/0256-307X/28/9/090204

Cite this

@article{57a1480a13874326b623ed56dbe6978a,

title = "A note on the invariance properties and conservation laws of the Kadomstev - Petviashvili equation with power law nonlinearity",

abstract = "First, we studied the invariance properties of the Kadomstev - Petviashvili equation with power law nonlinearity. Then, we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the equation. The point symmetry generators were also used to reduce the equation to an exact solution and to verify the invariance properties of the conserved flows.",

author = "Bokhari, \{A. H.\} and Zaman, \{F. D.\} and K. Fakhar and Kara, \{A. H.\}",

year = "2011",

month = sep,

doi = "10.1088/0256-307X/28/9/090204",

language = "English",

volume = "28",

journal = "Chinese Physics Letters",

issn = "0256-307X",

publisher = "IOP Publishing Ltd.",

number = "9",

}

TY - JOUR

T1 - A note on the invariance properties and conservation laws of the Kadomstev - Petviashvili equation with power law nonlinearity

AU - Bokhari, A. H.

AU - Zaman, F. D.

AU - Fakhar, K.

AU - Kara, A. H.

PY - 2011/9

Y1 - 2011/9

N2 - First, we studied the invariance properties of the Kadomstev - Petviashvili equation with power law nonlinearity. Then, we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the equation. The point symmetry generators were also used to reduce the equation to an exact solution and to verify the invariance properties of the conserved flows.

AB - First, we studied the invariance properties of the Kadomstev - Petviashvili equation with power law nonlinearity. Then, we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the equation. The point symmetry generators were also used to reduce the equation to an exact solution and to verify the invariance properties of the conserved flows.

UR - https://www.scopus.com/pages/publications/80053213031

U2 - 10.1088/0256-307X/28/9/090204

DO - 10.1088/0256-307X/28/9/090204

M3 - Article

AN - SCOPUS:80053213031

SN - 0256-307X

VL - 28

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 9

M1 - 090204

ER -

A note on the invariance properties and conservation laws of the Kadomstev - Petviashvili equation with power law nonlinearity

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this