A numerical application of the decomposition method for the combined KdV–MKdV equation

Parametrically Controlling Solitary Wave in the Variable Coefficient Combined KdV Equation

“…In [1], the generalized solitary waves have been found. In [2,3,4,5,6,7], the exact solitary-wave solutions and numerical solutions of the combined KdV equation has been obtained. In [8], Huang has studied the new exact traveling waves solutions to the combined KdV.…”

Birleştirilmiş KdV-mKdV Denkleminin Yaklaşık Analitik Çözümleri Üzerine Bir Çalışma

“…The equation defines various interesting physical phenomena, such as the weakly nonlinear long waves in various physical applications (Nakoulima et al, 2004). Many analytic and numerical methods have been proposed and implemented for solution of the equation (Zhang, 1998;Kaya and Inan, 2005;Wazwaz, 2007;Biswas and Zerrad, 2008;Lu and Shi, 2010;Triki et al, 2010;Ak et al, 2018;Ak, 2019).…”

Adomian decomposition method for solving nonlinear heat equation with exponential nonlinearity

“…The prof of the convergence for the ADM was discussed by charrault [5]. The ADM has been successfully applied to solve a large class of linear and nonlinear problems such that algebraic equation [6], differential equation [7], system of differential equation [8], partial differential equation PDE [9] and system of partial differential equation [10,11]. In this paper, we consider the heat equation [12] u…”