### Abstract

A multidimensional first-order matrix scattering problem is considered. The expression for the scattering matrix in terms of the potential is obtained. It is shown that only a small class of nonlinear evolution equations (isospectral deformations) is connected with the scattering problem under consideration. © 1983.

Original language | English |
---|---|

Pages (from-to) | 442-446 |

Number of pages | 5 |

Journal | Physics Letters A |

Volume | 93 |

Issue number | 9 |

Publication status | Published - 14 Feb 1983 |

### Fingerprint

### Cite this

*Physics Letters A*,

*93*(9), 442-446.

}

*Physics Letters A*, vol. 93, no. 9, pp. 442-446.

**On the nonlinear evolution equations connected with multidimensional scattering problems.** / Konopelchenko, B G.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On the nonlinear evolution equations connected with multidimensional scattering problems

AU - Konopelchenko, B G

PY - 1983/2/14

Y1 - 1983/2/14

N2 - A multidimensional first-order matrix scattering problem is considered. The expression for the scattering matrix in terms of the potential is obtained. It is shown that only a small class of nonlinear evolution equations (isospectral deformations) is connected with the scattering problem under consideration. © 1983.

AB - A multidimensional first-order matrix scattering problem is considered. The expression for the scattering matrix in terms of the potential is obtained. It is shown that only a small class of nonlinear evolution equations (isospectral deformations) is connected with the scattering problem under consideration. © 1983.

UR - http://www.scopus.com/inward/record.url?scp=49049129597&partnerID=8YFLogxK

M3 - Article

VL - 93

SP - 442

EP - 446

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 9

ER -