Soliton solutions of a nonlinear ANNV equation via extended Riccati mapping method

Abstract In this paper, an improved model of (2+1)-dimensional nonlinear asymmetric Nizhnik-Novikov- Veselov (ANNV) equation is considered and its solutions are studied via extended Riccati mapp- ing method. Also, the different types of soliton solutions are fabricated. Moreover, the local domain and self-similar fractal structures (SFSs) are explored. The results obtained not only contribute to our understanding of the fluid dynamics or nonlinear optics, but also lay the founda- tion for further research in this field, and the revealed solitary wave solutions have the potential to inform the development of more accurate prediction models for nonlinear dynamics.