### 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 1981 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

**Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse Scattering Transform.** / Manakov, S. V.; Zakharov, Vladimir E.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 5, no. 3, pp. 247-253. https://doi.org/10.1007/BF00420705

}

TY - JOUR

T1 - Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse Scattering Transform

AU - Manakov, S. V.

AU - Zakharov, Vladimir E

PY - 1981/5

Y1 - 1981/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001386196&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001386196&partnerID=8YFLogxK

U2 - 10.1007/BF00420705

DO - 10.1007/BF00420705

M3 - Article

AN - SCOPUS:0001386196

VL - 5

SP - 247

EP - 253

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -