A (2+1)-dimensional KdV equation and mKdV equation: Symmetries,group invariant solutions and conservation laws |
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| Authors: | Gangwei Wang A.H. Kara |
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| Affiliation: | 1. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, 050061, PR China;2. School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa |
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| Abstract: | In this paper, we analyse the (2+1)-dimensional KdV and mKdV equations. Firtly, on the basis of the extended Lax pair, we derive these equations. Thereafter, the symmetry generators are determined followed by the application of the mCK method. Finally, conservation laws (including higher order) are studied. |
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| Keywords: | A (2+1)-dimensional KdV and mKdV equation Symmetry Group invariant solutions Conservation laws |
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