Lie symmetry analysis, conservation laws and diverse solutions of a new extended (2+1)-dimensional Ito equation

Abstract

In this paper, a new class of extended (2+1)-dimensional Ito equations is investigated for its group invariant solutions. The Lie symmetry method is employed to transform the nonlinear Ito equation into an ordinary differential equation. The general solution of the solvable linear differential equation with different parameters is obtained, and the plot of the solvable linear differential equation is given. A power series solution for the equation is then derived. Furthermore, a conservation law for the equation is constructed by utilizing a new Ibragimov conservation theorem.

Keywords

• the ito equation
• conservation laws
• particular solutions
• power series solutions
• lie symmetry method