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

Bokhari, Ashfaque H. and Zaman, Fiazuddin D. and Fakhar, Kamran and Kara, Abdul Hamid (2011) A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity. Chinese Physics Letters, 28 (9). 090204(1)-090204(2). ISSN 0256-307X

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Official URL: http://dx.doi.org/10.1088/0256-307X/28/9/090204

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.

Item Type:Article
Uncontrolled Keywords:Kadomstev–Petviashvili equation, invariance properties, soliton solution
Subjects:Q Science
Divisions:Science
ID Code:28594
Deposited By: Yanti Mohd Shah
Deposited On:25 Oct 2012 07:12
Last Modified:28 Jan 2019 03:35

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