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 Fakhar2, 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
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 Fakhar2, 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
摘要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.
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.
A H Bokhari;F D Zaman;K Fakhar;*;A H Kara
. A Note on the Invariance Properties and Conservation Laws of the Kadomstev–Petviashvili Equation with Power Law Nonlinearity[J]. 中国物理快报, 2011, 28(9): 90204-090204.
A H Bokhari, F D Zaman, K Fakhar, *, A H Kara
. A Note on the Invariance Properties and Conservation Laws of the Kadomstev–Petviashvili Equation with Power Law Nonlinearity. Chin. Phys. Lett., 2011, 28(9): 90204-090204.
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2011, Vol. 28 
