分数阶微积分
分形
孤子
数学
共形矩阵
非线性系统
应用数学
数学分析
数学物理
物理
量子力学
出处
期刊:Fractals
[World Scientific]
日期:2023-01-01
卷期号:31 (09)
被引量:11
标识
DOI:10.1142/s0218348x23501104
摘要
The Calogero–Bogoyavlenskii–Schiff equation is an important nonlinear evolution model to describe the propagation of Riemann waves. A fractional Calogero–Bogoyavlenskii–Schiff is described based on the conformable derivative for the first time. Some new soliton solutions are acquired with the aid of the extended fractional [Formula: see text] function method and fractional variable method. The two novel mathematical methods are very efficient and concise, which can also be utilized to solve other fractional evolution equations. Furthermore, these derived soliton solutions are illustrated by some 3D and 2D graphs with different fractal parameters and fractal dimensions, which might be helpful to study in plasma physics.
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