New solutions for \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equations
Summary: Using the extended F-expansion method based on computerized symbolic computation technique, we find several new solutions of \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equations. These solutions contain hyperbolic and triangular solutions. It is shown that the power of the extended F-expansion method is its ease of use to determine shock or solitary type of solutions. In addition, as an illustrative sample, the properties for the extended F-expansion solutions of the Itô equations are shown with some figures.
scientific article; zbMATH DE number 6173369
scientific article