Calculating Conservation Laws in Time-Space Fractional Generalized Ginzburg-Landau Equation

This article presents a method for calculating conservation laws for shallow water trailing using the time-space fractional generalized Ginzburg-Landau equation. The authors derive important properties and analytical solutions of the equation using mathematical tools such as fractional calculus and Laplace transform. Results of the study show that this equation provides a new mathematical tool and theoretical basis for the study of shallow water trailing.