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

Ziying Qi; Lianzhong Li; Ziying Qi; Lianzhong Li

doi:10.3934/math.20231524

AIMS Mathematics

2023, Volume 8, Issue 12: 29797-29816. doi: 10.3934/math.20231524

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Research article

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

Ziying Qi ,
Lianzhong Li ^,

School of Science, Jiangnan University, Wuxi 214026, China

Received: 04 September 2023 Revised: 30 September 2023 Accepted: 10 October 2023 Published: 02 November 2023
MSC : 76M60

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.
- the Ito equation,
- conservation laws,
- particular solutions,
- power series solutions,
- Lie symmetry method
Citation: Ziying Qi, Lianzhong Li. Lie symmetry analysis, conservation laws and diverse solutions of a new extended (2+1)-dimensional Ito equation[J]. AIMS Mathematics, 2023, 8(12): 29797-29816. doi: 10.3934/math.20231524

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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.

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