Exact soliton solutions for three nonlinear partial differential equations.

In this article, we apply the extended modified auxiliary equation mapping method to study the generalized Nizhnik–Novikov–Veselov equation,the Radhakrishnan–Kundu–Lakshmanan equation, and a cold bosonic atom in a zig–zag optical lattice. By employing this method, we obtain soliton solutions of different types and utilize computer assistance to visualize these solutions. [ABSTRACT FROM AUTHOR]