A Note on the Invariance Properties and Conservation Laws of the Kadomstev–Petviashvili Equation with Power Law Nonlinearity

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

Chin. Phys. Lett.

2011, Vol. 28

Issue (9): 090204 DOI: 10.1088/0256-307X/28/9/090204

GENERAL

A Note on the Invariance Properties and Conservation Laws of the Kadomstev–Petviashvili Equation with Power Law Nonlinearity

A H Bokhari¹, F D Zaman¹, K Fakhar^{2, 3*}, A H Kara⁴

¹Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
²Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia
³Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia
⁴School of Mathematics, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa

Cite this article:

A H Bokhari, F D Zaman, K Fakhar et al 2011 Chin. Phys. Lett. 28 090204

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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.

Keywords: 02.20.Sv 02.30.Jr 02.30.Xx 02.90.+p

Received: 09 June 2011 Published: 30 August 2011

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.30.Jr	(Partial differential equations)
	02.30.Xx	(Calculus of variations)
	02.90.+p	(Other topics in mathematical methods in physics)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/9/090204 OR https://cpl.iphy.ac.cn/Y2011/V28/I9/090204

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	A H Bokhari
	F D Zaman
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	A H Kara

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