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

Authors : Baixin CHEN, Yongyi GU

Pages : 257-265

Doi:10.33401/fujma.1125858

View : 38 | Download : 10

Publication Date : 2022-12-01

Article Type : Research Paper

Abstract :In this paper, we obtain exact solutions of the insert ignore into journalissuearticles values(2+1);-dimensional combined KdV-mKdV equation by using a symbol calculation approach. First, we give some background on the equation. Second, the exp$insert ignore into journalissuearticles values(-\varphiinsert ignore into journalissuearticles values(z););$-expansion method will be introduced to solve the equation. After, using the exp$insert ignore into journalissuearticles values(-\varphiinsert ignore into journalissuearticles values(z););$-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