首页|Fractional Breaking Soliton Equation Reduced from a Linear Spectral Problem Associated with Fractional Self-Dual Yang-Mills Equations

Fractional Breaking Soliton Equation Reduced from a Linear Spectral Problem Associated with Fractional Self-Dual Yang-Mills Equations

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Fractional or fractal calculus is everywhere and very important. It is reported that the fractal approach is suitable for insight into the effect of porous structure on thermo-properties of cloth. A novel local fractional breaking soliton equation is derived from the reduction of the linear spectral problem associated with the local fractional non-isospectral self-dual Yang-Mills equations. More specifically, the employed linear spectral problem is first reduced to the ( 2+1 )-dimensional local fractional zero-curvature equation through variable transformations. Based on the reduced local fractional zero-curvature equation, the fractional breaking soliton equation is then constructed by the method of undetermined coefficients. This paper shows that some other local fractional models can be obtained by generalizing the existing methods of generating nonlinear partial differential equations with integer orders.

fractional calculuslocal fractional breaking soliton equationlocal fractional non-isospectral self-dual Yang-Mills equations( 2+1)-dimensional local fractional zero-curvature equation

ZHANG Sheng、MA Lina、XU Bo

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School of Mathematical Sciences, Bohai University, Jinzhou 121013, China

School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China

School of Educational Sciences, Bohai University, Jinzhou 121013, China

Liaoning BaiQianWan Talents Program of ChinaNational Natural Science Foundation of ChinaNatural Science Foundation of Education Department of Liaoning Province of China

2019115470052020

2020

10.19884/j.1672-5220.202009064

东华大学学报(英文版)
东华大学

东华大学学报(英文版)

影响因子：0.091
ISSN：1672-5220
年,卷(期)：2020.37(5)
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