Optical solitons for multiple-core couplers with polynomial law of nonlinearity using the modified extended direct algebraic method

Abstract

In this article, multiple-core couplers with polynomial law of nonlinearity are considered with nearest neighbors and with all neighbors. The modified extended direct algebraic method is applied to derive soliton solutions and other solutions for the proposed model. Bright soliton solutions, bright-singular combo soliton solutions and singular soliton solutions are obtained. Also, periodic solutions, combo periodic solutions, exponential solutions and rational solutions are obtained. Moreover, for the physical illustration, some of the obtained solutions are represented graphically.