### Abstract

In the space-time with signature (2,2) the self-duality equations in the specific case of potentials independent of one of the coordinates are reduced to a relativistic-invariant system in the (2-1)-dimensional space-time. A general solution of this system is constructed by means of IST. A soliton solution, finite in all directions, is discussed. It is found that there is no classical scattering of both solitons and continuous spectrum waves.

Original language | English (US) |
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Pages (from-to) | 247-253 |

Number of pages | 7 |

Journal | Letters in Mathematical Physics |

Volume | 5 |

Issue number | 3 |

DOIs | |

State | Published - May 1 1981 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics