Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

BSMaSS > BSMaSS Volume 12 > An Exact Solution of Modified KdV (mKdV) Equation...
An Exact Solution of Modified KdV (mKdV) Equation as a Reduction of Self-Dual Yang-Mills Theory
< Back to Volume

An Exact Solution of Modified KdV (mKdV) Equation as a Reduction of Self-Dual Yang-Mills Theory

Full Text PDF

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.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 12)
Pages:
1-3
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.12.1
Citation:
V. Christianto, "An Exact Solution of Modified KdV (mKdV) Equation as a Reduction of Self-Dual Yang-Mills Theory", The Bulletin of Society for Mathematical Services and Standards, Vol. 12, pp. 1-3, 2014
Online since:
December 2014
Authors:
Victor Christianto
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

Jeremy Schiff. Self-Dual Yang Mills and the Hamiltonian Structures of Integrable Systems. arXiv: hep-th/9211070 (1992).

Keijiro Suzuki. Explorations of a self-dual Yang-Mills hierarchy. Diplomarbeit, Max Planck Institut fur Dynamik and Selbstorganisation (Oct. 2006).

A.R. Shehata & J. F Alzaidy. Canonical Reduction of the Self-Dual Yang-Mills Equations to Nonlinear Modified Korteweg-deVries Equations with Exact Solutions and its Conservation Laws. Int. Journal of Math. Analysis, Vol. 5, no. 3, 145-155 (2011).

Richard H. Enns & George C. McGuire. Nonlinear Physics with Mathematica for Scientists and Engineers. Berlin: Birkhäuser, 2001, pp.176-178.

Sadri Hassani. Mathematical Methods using Mathematica: For Students of Physics and Related Fields. New York: Springer-Verlag New York, Inc., (2003).

Eric Weisstein, http: /mathworld. wolfram. com/Korteweg-deVriesEquation. html.

Klaus Brauer. The Korteweg-deVries equation: History, exact solutions, and graphical representation (2000). URL: http: /www. usf. uni-osnabrueck. de/~kbrauer.

Miftachul Hadi & Hans J. Wospakrik. SU(2) Skyrme Model for Hadrons. Phys. J. IPS C8 (2004) 0514. URL: http: /hfi. fisika. net.

Mehri Sajjadian. Numerical solutions of Korteweg-deVries and Korteweg-deVries-Burger's equations using computer programming. arXiv: 1209. 1782 [math. NA] (2012).

Show More Hide
Cited By:
This article has no citations.