Exact traveling wave solutions of Chaffee–Infante equation in (2 + 1)‐dimensions and dimensionless Zakharov equation

Abstract

In this work, the generalized Kudryashov method is used to obtain the exact traveling wave solutions for two important nonlinear evolution equations, the Chaffee-Infante equation in (2 + 1)-dimensions and the dimensionless Zakharov equation. The generalized Kudryashov method is successfully used for getting exact solutions of these nonlinear equations in the form of exponential function solutions and hyperbolic function solutions. Moreover, we have discussed the dynamical behaviors through graphical representation of the solutions obtained in this way.

On Oblique Wave Solutions of Some Space-Time Fractional Modified KDV Equations

“… -dimensional modified KdV Eqs. ( 1)-( 3) via modified Kudryashov approach [35][36][37]. Consider the Eq.…”

“…Some of the commonly used approaches are studied in [21][22][23][24][25][26][27][28][29][30][31][32][33][34]. Furthermore, the generalized Kudryashov method [35][36][37], a modified form of Kudryashov and functional variable methods have been employed for solving discrete and fractional order partial differential equations (PDEs) as well [38][39][40][41]. Moreover, the exact solitary wave solutions to PDEs and FPDEs have also been found in [42][43][44][45][46].…”

On solutions of fractional order time varying linear dynamical systems model

“…Homotopy perburbation method was applied to the hyperbolic partial differential equations and fractional partial differential equations in Liao (2005), Jleli et al (2019), and Kumar et al (2020f). For more details see Baleanu et al (1975), Akg€ ul (2018, 2019, , Atangana et al (2020), Atangana and Akg€ ul (1971), Kumar et al (2020aKumar et al ( , 2020bKumar et al ( , 2020cKumar et al ( , 2020d, Ghanbari et al (2020), Goufo et al (2020), Safare et al (2020), Thair et al (2020), Farman et al (2020aFarman et al ( , 2020b, Saleem et al (2020), Ahmad et al (2020), Alı cı and Tanriverdi (2020), Tanriverdi (2020), Owolabi (2020Owolabi ( , 2021, , Karaagac et al (2020), and Owolabi and Karaagac et al (2020).…”

Construction of Soliton Solutions for Chaffee-Infante Equation

“…( 1) have been tried recently to be found by many researchers with various methods such as Habiba et al used the improved Kudryashov method (Habiba et al 2019). Tahir et al used the generalized Kudryashov method (Tahir et al 2020).…”