Optical solitons and other solutions to the (2+1)-dimensional coupled system of NLSE by two integration approaches

Based on the new mapping approach and the new extended auxiliary equation approach, we obtain solitons and other solutions of the (2+1)-dimensional coupled nonlinear Schro?dinger equations (NLSE). Bright, dark and singular soliton solutions as well as Jacobi elliptic function solutions, solitary wave solutions and trigonometric function solutions are found. This equation describes the transverse effects in an optical fiber, time-independent corporation and field of optical soliton.

Automated summary

Using new mapping approaches and extended auxiliary equation approaches, various solutions of the (2+1)-dimensional coupled nonlinear Schrodinger equations have been obtained, including solitons and other solutions. These solutions describe transverse effects in optical fibers, time-independent corporation, and the field of optical solitons.