Work

A Modified Auxiliary Method for Efficient Solutions to the (2+1)-Dimensional Variable-Coefficient Burgers’ Equation

Year: 2025

Type: article

Abstract: This paper explores an innovative expansion method for solving variable-coefficient partial differential equations. Combining specific auxiliary equations with the aid of mathematical software, our method achieves notable perspectives for understanding and solving related physical problems. The validity of this method was verified through the (2+1)-dimensional variable-coefficient Burgers’ equation, and the results were visualized using three-dimensional surface plots. This study proposes an effective method for solving partial differential equations that holds broad application prospects in the field of fluid physics.

Source: Axioms

DOI: 10.3390/axioms14120882

Authors: Yiman Han, Yanni Zhang

Institution: Liaoning University of Technology

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Liaoning University