### 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 |
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Pages (from-to) | 442-446 |

Number of pages | 5 |

Journal | Physics Letters A |

Volume | 93 |

Issue number | 9 |

Publication status | Published - 14 Feb 1983 |

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## Cite this

Konopelchenko, B. G. (1983). On the nonlinear evolution equations connected with multidimensional scattering problems.

*Physics Letters A*,*93*(9), 442-446.