Abstract
Abstract The equivalence of variable separation solutions based on the improved tanh-function method (ITM) for nonlinear models is illustrated. As an example, we restudy the (2+1)-dimensional generalised Nizhnik–Novikov–Veselov system via the ITM. Based on the radical sign-combined ansatz, five types of variable separation solutions are obtained. By careful analysis, we prove that these seemingly independent variable separation solutions actually depend on each other.
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