Abstract
Our aim in this article to constructed the new solitary wave solutions of (2+1)-dim nonlinear Nizhnik-Novikov-Vesselov equation by novel approach which is extended modified rational expansion method. The new solitary wave solutions are rational, trigonometric, hyperbolic, elliptic functions including dark, bright, singular, combined, optical solitons, kink wave, anti-kink wave, periodic wave, travelling wave and we also represent the physical interpretation of new solutions by 2D and 3D graphical by using the Mathematica. These constructed solutions may play vital role in the areas of Mathematical physics, plasma physics, nonlinear optics, quantum mechanics, fluid dynamics and many different fields of applied sciences. The complete calculations show that this new technique is more powerful, effective, straightforward and we can also apply on other nonlinear PDEs involves in Mathematical physics and many other physical sciences.