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The homogeneous balance method is extended to search for the Bcklund transformations and similarity reductions of nonlinear mathematical and physical equations. The corresponding results coincide with those of Weiss-Tabor-Carnevale method and Clarkson-Kruskal method respectively. It is shown that there exist close relations among these three methods.
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Keywords:
- homogeneous balance method /
- WTC method /
- CK reduction method
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