### Abstract

The recurrences of initial states for nonlinear wave equations of the form √Q+f(Q) = 0 with odd f are studied. The main result refines and generalizes the investigations of Friedlander and is related to the Poincaré theorem for finite dimensional Hamiltonian systems. Bibliography: 7 titles.

Original language | English (US) |
---|---|

Pages (from-to) | 1630-1634 |

Number of pages | 5 |

Journal | Journal of Mathematical Sciences |

Volume | 94 |

Issue number | 4 |

State | Published - 1999 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics
- Statistics and Probability

### Cite this

*Journal of Mathematical Sciences*,

*94*(4), 1630-1634.

**Statistical mechanics of nonlinear wave equations.** / McKean, H. P.; Vaninsky, K. L.

Research output: Contribution to journal › Article

*Journal of Mathematical Sciences*, vol. 94, no. 4, pp. 1630-1634.

}

TY - JOUR

T1 - Statistical mechanics of nonlinear wave equations

AU - McKean, H. P.

AU - Vaninsky, K. L.

PY - 1999

Y1 - 1999

N2 - The recurrences of initial states for nonlinear wave equations of the form √Q+f(Q) = 0 with odd f are studied. The main result refines and generalizes the investigations of Friedlander and is related to the Poincaré theorem for finite dimensional Hamiltonian systems. Bibliography: 7 titles.

AB - The recurrences of initial states for nonlinear wave equations of the form √Q+f(Q) = 0 with odd f are studied. The main result refines and generalizes the investigations of Friedlander and is related to the Poincaré theorem for finite dimensional Hamiltonian systems. Bibliography: 7 titles.

UR - http://www.scopus.com/inward/record.url?scp=53149116662&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53149116662&partnerID=8YFLogxK

M3 - Article

VL - 94

SP - 1630

EP - 1634

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -