### Abstract

All the subalgebras of first-order symmetry operators for the d'Alembert equation, generating the bases of solutions in the method of noncommutative integration of linear differential equations, which cannot be constructed in the method of separation of variables, are found. These bases themselves are then given in explicit form. The complete systems of solutions of the d'Alembert equation, determined by noncommutative sets of first-order symmetry operators, are thereby classified.

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

Pages (from-to) | 528-533 |

Number of pages | 6 |

Journal | Russian Physics Journal |

Volume | 41 |

Issue number | 6 |

Publication status | Published - 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Russian Physics Journal*,

*41*(6), 528-533.

**Noncommutative solutions of the d'alembert equation.** / Lisitsyn, Ya V.; Shapovalov, A. V.

Research output: Contribution to journal › Article

*Russian Physics Journal*, vol. 41, no. 6, pp. 528-533.

}

TY - JOUR

T1 - Noncommutative solutions of the d'alembert equation

AU - Lisitsyn, Ya V.

AU - Shapovalov, A. V.

PY - 1998

Y1 - 1998

N2 - All the subalgebras of first-order symmetry operators for the d'Alembert equation, generating the bases of solutions in the method of noncommutative integration of linear differential equations, which cannot be constructed in the method of separation of variables, are found. These bases themselves are then given in explicit form. The complete systems of solutions of the d'Alembert equation, determined by noncommutative sets of first-order symmetry operators, are thereby classified.

AB - All the subalgebras of first-order symmetry operators for the d'Alembert equation, generating the bases of solutions in the method of noncommutative integration of linear differential equations, which cannot be constructed in the method of separation of variables, are found. These bases themselves are then given in explicit form. The complete systems of solutions of the d'Alembert equation, determined by noncommutative sets of first-order symmetry operators, are thereby classified.

UR - http://www.scopus.com/inward/record.url?scp=54749099230&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=54749099230&partnerID=8YFLogxK

M3 - Article

VL - 41

SP - 528

EP - 533

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 6

ER -