Fractional analysis for nonlinear electrical transmission line and nonlinear Schroedinger equations with incomplete sub-equation

被引：37

作者：

Fendzi-Donfack, Emmanuel ^{[1
,2
]}

Nguenang, Jean Pierre ^{[1
,3
]}

Nana, Laurent ^{[1
]}

机构：

[1] Univ Douala, Dept Phys, Grp Nonlinear Phys & Complex Syst, Pure Phys Lab,Fac Sci, POB 24154, Douala, Cameroon

[2] Univ Yaounde I, Higher Teachers Training Coll, Dept Phys, Nonlinear Phys & Complex Syst Grp, POB 47, Yaounde, Cameroon

[3] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2018年 / 133卷 / 02期

关键词：

PARTIAL-DIFFERENTIAL-EQUATIONS; TRAVELING-WAVE SOLUTIONS; (G'/G)-EXPANSION METHOD; TRANSFORM; STABILITY; EXISTENCE; ORDER;

D O I：

10.1140/epjp/i2018-11851-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use the fractional complex transform with the modified Riemann-Liouville derivative operator to establish the exact and generalized solutions of two fractional partial differential equations. We determine the solutions of fractional nonlinear electrical transmission lines (NETL) and the perturbed nonlinear Schroedinger (NLS) equation with the Kerr law nonlinearity term. The solutions are obtained for the parameters in the range (0 < alpha <= 1) of the derivative operator and we found the traditional solutions for the limiting case of alpha = 1. We show that according to the modified Riemann-Liouville derivative, the solutions found can describe physical systems with memory effect, transient effects in electrical systems and nonlinear transmission lines, and other systems such as optical fiber.

引用

页数：11

共 36 条

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