Abstract
This paper focuses on the coupled Konno-Oono equation that arises in the magnetic field. Fifteen sets of the analytical solutions in the form of bright solitary, dark solitary, bright-dark solitary, kinky bright-dark solitary, rough bright solitary and periodic wave solutions are obtained by applying three effective technologies, which are simplified extended tanh-function method, variational direct method and He’s frequency formulation. The behaviors of the solutions are plotted through the 3-D contours. The results show that the proposed methods are effective and powerful, which are expected to helpful for the study of the traveling wave theory in physics.
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