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Symmetry Reduction, Exact Solutions and Conservation Laws of the Modified Kadomtzev–Patvishvili-II Equation |
| XIN Xiang-Peng, LIU Xi-Qiang, ZHANG Lin-Lin
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| School of Mathematical Sciences, Liaocheng University, Liaocheng 252059
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XIN Xiang-Peng, LIU Xi-Qiang, ZHANG Lin-Lin 2011 Chin. Phys. Lett. 28 020201 |
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Abstract Employing the modified Clarkson–Kruskal direct method, we realize the symmetries of the nonlinear (2+1)-dimensional modified Kadomtzev–Patvishvili-II equation. Applying the given Lie symmetry, we obtain the similarity reduction and new exact solutions. We also obtain conservation laws of the equations with the corresponding Lie symmetry.
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| Keywords:
02.30.Jr
04.20.Jb
05.45.Yv
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Received: 29 April 2010
Published: 30 January 2011
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