Abstract

A recent procedure based on truncated Painlevé expansions is used to derive Lax Pairs, Darboux transformations, and various soliton solutions for integrable (2+1) generalizations of NLS type equations. In particular, diverse classes of solutions are found analogous to the dromion, instanton, lump, and ring soliton solutions derived recently for (2+1) Korteweg–de Vries type equations, the Nizhnik–Novikov–Veselov equation, and the (2+1) Broer–Kaup system.

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