Abstract
In this paper, the external trial equation method is employed to solve new coupled Konno–Oono (CKO) equation. By using this method, new exact solutions involving parameters, expressed by generalized hyperbolic and elleptic solutions are obtained. The current method presents a wider applicability for handling nonlinear wave equations. In addition, explicit new exact solutions are derived in different form such as dark solitons, bright solitons, solitary wave, periodic solitary wave, rational function, and elliptic function solutions of CKO equation. The movements of obtained solutions are shown graphically, which helps to understand the physical phenomena of this soliton wave equation.
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