Three higher-dimensional Virasoro integrable models: Multiple soliton solutions
In this work, we study three higher-dimensional Virasoro integrable models, namely the (3+1)-dimensional Nizhnik-Novikov-Veselov equation, the (3+1)-dimensional breaking soliton equation, and a (3+1)-dimensional extended breaking soliton equation. The three equations are among the Virasoro integrable models. We use the simplified form of the Hirota’s method to establish multiple soliton solutions for each equation. We determine the constraint conditions between the coefficients of the spatial variables to guarantee the existence of the multiple soliton solutions for each model.
In this paper, a numerical method is given for solving fuzzy Fredholm integral equations of the second kind, by using Bernstein piecewise polynomial, whose coefficients determined through solving dual fuzzy linear system. Numerical examples are presented to illustrate the proposed method, whose calculations were implemented by using the Computer software MathCadV.14.