Abstract
In this article, a singularity structure analysis of a (2+1)-dimensional generalized Korteweg–de Vries equation studied originally by Boiti et al., admitting a weak Lax pair, is carried out and it is proven that the system satisfies the Painlevé property. Its bilinear form is constructed in a natural way from the P analysis and then it is used to generate ‘‘multidromion’’ solutions (exponentially decaying solutions in all directions). The same analysis can be extended to construct the multidromion solutions of the generalized Nizhnik–Novikov–Veselov (NNV) equation from which the NNV equation follows as a special case.
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