Cubic–quartic solitons in twin-core couplers with optical metamaterials having Kudryashov’s sextic power law of arbitrary refractive index by using improved modified extended tanh-function method

Abstract

In this article, the improved modified extended tanh-function method is applied to obtain optical solitons for the cubic–quartic (CQ) twin-core couplers in optical metamaterials having Kudryashov’s sextic power law of arbitrary refractive index. Various types of solutions are raised such as bright solitons, dark solitons, singular solitons, periodic solutions, singular periodic solutions, hyperbolic-type solutions, rational-type solution, Jacobi elliptic wave solutions, exponential wave solutions and Weierstrass elliptic doubly periodic-type solutions. Moreover, for the physical illustration of the obtained solutions 2D, 3D and contour graphs are presented.