On the Reduction of Some Dispersionless Integrable Systems |
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| Authors: | A. H. Kara |
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| Affiliation: | 1. School of Mathematics, Wits University, Johannesburg, South Africa
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| Abstract: | We study the invariance, reduction, exact solutions and conservation laws of the dispersionless Kadomtsev-Petviashivili and the heavenly equation. The existence of nontrivial conservation laws lead to repeated reductions paving the way for determining exact solutions. A variety of such solutions exist dependent on the subalgebra of Lie point symmetries that is chosen in the reduction procedure. |
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