Solitons and other exact solutions for two nonlinear PDEs in mathematical physics using the generalized -expansion method

In this article, we apply the generalized (G0=G)-expansion method with the aid of computer algebra systems (CAS) such as Maple or Mathematica to construct many new types of Jacobi elliptic function solutions for two nonlinear partial di¤erential equations (PDEs) describing the nonlinear low-pass electrical lines and pulse narrowing nonlinear transmission lines. Based on Kirchho¤’s law, the given nonlinear PDEs have been derived and can be reduced to nonlinear ordinary di¤erential equations (ODEs) using a simple transformation. Soliton wave solutions or periodic function solutions are obtained from the Jacobi elliptic function solutions when the modulus of the Jacobi elliptic functions approaches to one or zero respectively. Comparing our new results with the well-known results are given. The used method in this article is straightforward, concise and it can also be applied to other nonlinear PDEs in mathematical physics.