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# The Generalized Projective Riccati Equations Method and its Applications to Nonlinear PDEs Describing Nonlinear Transmission Lines

**Year of Publication:**2015

**Publisher:**Foundation of Computer Science (FCS), NY, USA

E M E Zayed and K A E Alurrfi. Article: The Generalized Projective Riccati Equations Method and its Applications to Nonlinear PDEs Describing Nonlinear Transmission Lines. *Communications on Applied Electronics* 3(4):1-8, November 2015. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article, author = {E.M.E. Zayed and K.A.E. Alurrfi}, title = {Article: The Generalized Projective Riccati Equations Method and its Applications to Nonlinear PDEs Describing Nonlinear Transmission Lines}, journal = {Communications on Applied Electronics}, year = {2015}, volume = {3}, number = {4}, pages = {1-8}, month = {November}, note = {Published by Foundation of Computer Science (FCS), NY, USA} }

### Abstract

In this article, we apply the generalized projective Riccati equations method with the aid of symbolic computation to construct new exact traveling wave solutions with parameters for two nonlinear PDEs describing nonlinear transmission lines (NLTL). The first equation describes the model of governing wave propagation in the NLTL as nonlinear low-pass electrical lines. The second equation describes pulse narrowing nonlinear transmission lines. The obtained solutions include, kink and anti-kink solitons, bell (bright) and anti-bell (dark) solitary wave solutions, hyperbolic solutions and trigonometric solutions. Based on Kirchhoff

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### Keywords

Generalized projective Riccati equations method, Exact solutions, Nonlinear low-pass electrical lines, Pulse narrowing nonlinear transmission lines, Kirchhos lawsSS