## Abstract

With the help of some reductions of the self-dual Yang Mills (briefly written as sdYM) equations, we introduce a Lax pair whose compatibility condition leads to a set of (2 + 1)-dimensional equations. Its first reduction gives rise to a generalized variable-coefficient Burgers equation with a forced term. Furthermore, the Burgers equation again reduces to a forced Burgers equation with constant coefficients, the standard Burgers equation, the heat equation, the Fisher equation, and the Huxley equation, respectively. The second reduction generates a few new (2 + 1)-dimensional nonlinear integrable systems, in particular, obtains a kind of (2 + 1)-dimensional integrable couplings of a new (2 + 1)-dimensional integrable nonlinear equation.

Original language | English |
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Pages (from-to) | 203-206 |

Number of pages | 4 |

Journal | Communications in Theoretical Physics |

Volume | 61 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2014 |

## Scopus Subject Areas

- Physics and Astronomy (miscellaneous)

## User-Defined Keywords

- integrable coupling
- Lax pair
- self-dual Yang-Mills equation