A New Jacobi Elliptic Function Expansion Method for Solving a Nonlinear PDE Describing Pulse Narrowing Nonlinear Transmission Lines
A New Jacobi Elliptic Function Expansion Method for Solving a Nonlinear PDE Describing Pulse Narrowing Nonlinear Transmission Lines作者机构：Department of Mathema tics Faculty of Science Zagazig University P. O. Box 44519Zagazig Egypt.
出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)
年 卷 期：2015年第28卷第2期
页 面：128-138页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：New Jacobi elliptic function expansion method pulse narrowing nonlinear transmis-sion lines exact solutions Kirchhoff's current law Kirchhoff's voltage law.
摘 要：In this article, we apply the first elliptic function equation to find a new kind of solutions of nonlinear partial differential equations （PDEs） based on the ho- mogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method. New exact solutions to the Jacobi elliptic functions of a nonlinear PDE describing pulse narrowing nonlinear transmission lines are given with the aid of computer program, e.g. Maple or Mathematica. Based on Kirchhoff＇s current law and Kirchhoff＇s voltage law, the given nonlinear PDE has been derived and can be reduced to a nonlinear ordinary differential equation （ODE） using a simple transformation. The given method in this article is straightforward and concise, and can be applied to other nonlinear PDEs in mathematical physics. Further results may be obtained.
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