@article{Noor2023, 
author = {Saima Noor and Azzh Saad Alshehry and Asfandyar Khan and Imran Khan},
title = {Analysis of soliton phenomena in (2+1)-dimensional Nizhnik-Novikov-Veselov model via a modified analytical technique},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {28120-28142},
keywords = {partial differential equations, Nizhnik-Novikov-Veselov model, modified extended direct algebraic method, variable transformation, soliton, incompressible fluid, shallow water wave},
url = {https://www.sciopen.com/article/10.3934/math.20231439},
doi = {10.3934/math.20231439},
abstract = {The present research applies an improved version of the modified Extended Direct Algebraic Method (mEDAM) called    r+mEDAM to examine soliton phenomena in a notable mathematical model, namely the (2+1)-dimensional Nizhnik-Novikov-Veselov Model (NNVM), which possesses potential applications in exponentially localized structure interactions. The generalized hyperbolic and trigonometric functions are used to disclose a variety of soliton solutions, including kinks, anti-kink, bell-shaped and periodic soliton. Some 3D graphs are plotted for visual representations of these solutions which highlight their adaptability. The results provide a basis for practical usage and expansions to related mathematical models or physical systems. They also expand our understanding of the NNVM's dynamics, providing insights into its behavior and prospective applications.}
}