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- W2035896302 abstract "By applying a direct symmetry method, we get the symmetry of the asymmetric Nizhnik–Novikov–Veselov equation (ANNV). Taking the special case, we have a finite-dimensional symmetry. By using the equivalent vector of the symmetry, we construct an eight-dimensional symmetry algebra and get the optimal system of group-invariant solutions. To every case of the optimal system, we reduce the ANNV equation and obtain some solutions to the reduced equations. Furthermore, we find some new explicit solutions of the ANNV equation. At last, we give the conservation laws of the ANNV equation." @default.
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- W2035896302 date "2008-01-01" @default.
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- W2035896302 title "Symmetry Reductions, Exact Solutions and Conservation Laws of Asymmetric Nizhnik–Novikov–Veselov Equation" @default.
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- W2035896302 doi "https://doi.org/10.1088/0253-6102/49/1/01" @default.
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