Abstract
It is known for quite a long time that Self-Dual Yang Mills (SDYM) theory reduce to Korteweg-DeVries equation, but recently Shehata and Alzaidy have proved that SDYM reduces to modified KdV equation. Therefore, this paper discusses an exact solution of modified Korteweg-DeVries equation with Mathematica. An implication of the proposed solution is that it is possible to consider hadrons as (a set of) KdV soliton.
Highlights
It is known for quite a long time that Self-Dual Yang Mills (SDYM) theory reduce to Korteweg- DeVries equation [1][2], but recently Shehata and Alzaidy have proved that SDYM reduces to modified Korteweg-de Vries (KdV) equation [3]
This paper discusses an exact solution of modified Korteweg- DeVries equation with Mathematica
The following is a summary of their canonical reduction of SDYM: The SDYM equations can be written in compact form as follows [3, p.148]: (1)
Summary
It is known for quite a long time that Self-Dual Yang Mills (SDYM) theory reduce to Korteweg- DeVries equation [1][2], but recently Shehata and Alzaidy have proved that SDYM reduces to modified KdV equation [3]. Self-Dual Yang Mills theory and its canonical reduction to Korteweg-DeVries equation
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