Abstract
Starting from a weak Lax pair, the general Lie point symmetry group of the Konopelchenko—Dubrovsky equation is obtained by using the general direct method. And the corresponding Lie algebra structure is proved to be a Kac—Moody—Virasoro type. Furthermore, a new multi-soliton solution for the Konopelchenko—Dubrovsky equation is also given from this symmetry group and a known solution.
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