Lie point symmetries, conservation laws and exact solutions of electrical transmission line model

被引：0
|
作者：
Ali M.N. [1 ]
Husnine S.M. [1 ]
Ak T. [2 ]
机构：
[1] Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore
[2] Armutlu Vocational School, Yalova University, Armutlu, Yalova
来源：
SeMA Journal | 2019年 / 76卷 / 3期
关键词：
Conservation laws; Formal lagrangian; Nonlinear self-adjointness; Transmission line model;
D O I：
10.1007/s40324-018-00182-7
中图分类号：
学科分类号：
摘要：
In this article, we consider the model of electrical transmission line for exact solutions and conservations laws. For this, lie point symmetries are obtained. It is noticed that the equation under study is nonlinearly self-adjoint. This property is useful to calculate more conservation laws. Conservation laws are computed by using the new general conservation theorem of Ibragimov and multiplier approach. Some new exact solutions are achieved using direct integration and (1 / G′) —expansion methods. © 2019, Sociedad Española de Matemática Aplicada.
引用
收藏
页码：403 / 412
页数：9
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