NEW FRACTAL SOLITON SOLUTIONS FOR THE COUPLED FRACTIONAL KLEIN-GORDON EQUATION WITH β-FRACTIONAL DERIVATIVE

被引：20

作者：

Wang, Kangle ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 01期

关键词：

beta-Fractional Derivative; Fractal Soliton Solution; Fractal Sech-Function Method; Fractional Klein-Gordon Equation;

D O I：

10.1142/S0218348X23500032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive some novel fractal soliton solutions of the coupled fractional Klein-Gordon equation with the beta -fractional derivative via two efficient methods, which are fractal functional variable method and fractal sech-function method. The two new mathematical schemes are quite concise and effective, and then numerous new exact fractal soliton solutions of other nonlinear fractal evolution equations can be obtained. Finally, some 3D figures are sketched to describe these new fractal soliton solutions.

引用

页数：10

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