Employing the exp $(-\varphi(z))$ - Expansion Method to Find Analytical Solutions for a (2+1)-dimensional Combined KdV-mKdV Equation

Year 2022, Volume: 5 Issue: 4, 257 - 265, 01.12.2022

Baixin Chen Yongyi Gu

https://doi.org/10.33401/fujma.1125858

Cited By: 1

Abstract

In this paper, we obtain exact solutions of the (2+1)-dimensional combined KdV-mKdV equation by using a symbol calculation approach. First, we give some background on the equation. Second, the exp$(-\varphi(z))$-expansion method will be introduced to solve the equation. After, using the exp$(-\varphi(z))$-expansion method to solve the equation, we can get four types of exact solutions, which are hyperbolic, trigonometric, exponential, and rational function solutions. Finally, we can observe the characteristics of the exact solutions via computer simulation more easily.

Keywords

Analytical solutions, Combined KdV-mKdV equation, Exp$(-\varphi(z))$-expansion method

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