Some Special Types of Multisoliton Solutions of the Nizhnik-Novikov-Vesselov Equation

Using the standard truncated Painlevé analysis, we have obtained some new special types of soliton solutions of a (2+1)-dimensional integrable model, the Nizhnik-Novikov-Vesselov equation. Starting from the standard truncation approach in the Painlevé analysis, one can obtain a Bäcklund transformation to find a new solution from a known one. Usually, one can obtain only a single solitary wave solution from the Bäcklund transformation related to the truncated Painlevé analysis starting from the trivial vacuum solution. In this paper, we find some special types of the multisoliton solutions from the truncated Painlevé analysis and the trivial vacuum solution.