New Jacobi elliptic function solutions, solitons and other solutions for the (2+1)-dimensional nonlinear electrical transmission line equation

摘要

In this work, we use the new Jacobi elliptic function expansion method to find exact soliton solutions for a discrete nonlinear electrical transmission line in (2+1) dimension. Several new solutions have been obtained. The solutions found by the current method are of varied types and include hyperbolic and trigonometric solutions, as well as Jacobi elliptic solutions. We show that the existence of these solutions depends on the parameters of the network. Comparisons of our new results with the well-known results are obtained. The solutions found here may be also used in optical fibers to transport information. The method applied here is very simple and concise and can be also applied to other nonlinear partial differential equations.