Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (2): 209-214.doi: https://doi.org/10.1007/s10483-016-2025-8

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A class of exact solutions for N-dimensional incompressible magnetohydrodynamic equations

Ping LIU   

  1. School of Management, Tianjin Normal University, Tianjin 300387, China
  • Received:2015-03-02 Revised:2015-07-08 Online:2016-02-01 Published:2016-02-01
  • Contact: Ping LIU E-mail:liuping7533@126.com

Abstract:

In this paper, a sufficient and necessary condition is presented for existence of a class of exact solutions to N-dimensional incompressible magnetohydrodynamic (MHD) equations. Such solutions can be explicitly expressed by appropriate formulae. Once the required matrices are chosen, solutions to the MHD equations are directly constructed.

Key words: incompressible magnetohydrodynamic (MHD) equation, curve integration, quadratic form, exact solution, symmetric matrix

2010 MSC Number: 

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