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New B(a)cklund Transformation and New Exact Solutions to (2+1)-Dimensional KdV Equation
Authors:PENG Yan-ze
Abstract:A new Backlund transformation for (2 1)-dimensional KdV equation is first obtained by using homogeneousbalance method. And making use of the Backlund transformation and choosing a special seed solution, we get specialtypes of solitary wave solutions. Finally a general variable separation solution containing two arbitrary functions isconstructed, from which abundant localized coherent structures of the equation in question can be induced.
Keywords:(2 1)-dimensional KdV equation   solitary wave solution   the homogeneous balance method
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