Exact and soliton solutions to nonlinear transmission line model

被引:41
作者
El-Borai, M. M. [1 ]
El-Owaidy, H. M. [2 ]
Ahmed, H. M. [3 ]
Arnous, A. H. [3 ]
机构
[1] Univ Alexandria, Dept Math, Fac Sci, Alexandria, Egypt
[2] Al Azhar Univ, Dept Math, Fac Sci, Cairo, Egypt
[3] Higher Inst Engn, Dept Engn Math & Phys, Cairo, Egypt
关键词
Exact solutions; Solitons; Nonlinear transmission line; BACKLUND TRANSFORMATION; EVOLUTION-EQUATIONS; WAVE;
D O I
10.1007/s11071-016-3074-9
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A nonlinear transmission line (NLTL) is comprised of a transmission line periodically loaded with varactors, where the capacitance nonlinearity arises from the variable depletion layer width, which depends both on the DC and AC voltages of the propagating wave. An equivalent circuit model of NLTL is discussed analytically, in this article, and different type of solutions are celebrated. The improved extended tanh-function method has been applied successfully to extract the solutions. The obtained solutions are solitary wave solutions, singular periodic solutions, singular soliton solutions, Jacobi elliptic doubly periodic type solutions and Weierstrass elliptic doubly periodic type solutions. It is a very convenient tool to study the propagation of electrical solitons which propagate in the form of voltage waves in nonlinear dispersive media.
引用
收藏
页码:767 / 773
页数:7
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