Structures of multiple soliton solutions of the generalized, asymmetric and modified Nizhnik–Novikov–Veselov equations

The generalized, asymmetric and the modified Nizhnik–Novikov–Veselov equations, (gNNV), (aNNV) and (mNNV) are studied in this work. Multiple soliton solutions for these equations are obtained with the help of a simplified form of the Hirota’s bilinear method. Two distinct approaches are used for these distinct systems.

► We study the generalized, asymmetric and the modified Nizhnik–Novikov–Veselov equations.
► We use the simplified Hirota’s method.
► We determined multiple soliton solutions for each model.