### Abstract

A summary of the spectral theory for quasiperiodic sine- and sinh-Gordon equations is given. Analogies with whole-line solitons and scattering theory motivates the discussion. The relation between the ingredients in the inverse spectral solution of the periodic sine-Gordon equation and physical characteristics of sine-Gordon waves is emphasized. The explicit topics covered are summarized in the table of contents in the Introduction.

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

Pages (from-to) | 1248-1277 |

Number of pages | 30 |

Journal | Journal of Mathematical Physics |

Volume | 23 |

Issue number | 7 |

State | Published - 1981 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*23*(7), 1248-1277.

**Spectral theory for the periodic sine-Gordon equation : A concrete viewpoint.** / Forest, M. Gregory; McLaughlin, David W.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 23, no. 7, pp. 1248-1277.

}

TY - JOUR

T1 - Spectral theory for the periodic sine-Gordon equation

T2 - A concrete viewpoint

AU - Forest, M. Gregory

AU - McLaughlin, David W.

PY - 1981

Y1 - 1981

N2 - A summary of the spectral theory for quasiperiodic sine- and sinh-Gordon equations is given. Analogies with whole-line solitons and scattering theory motivates the discussion. The relation between the ingredients in the inverse spectral solution of the periodic sine-Gordon equation and physical characteristics of sine-Gordon waves is emphasized. The explicit topics covered are summarized in the table of contents in the Introduction.

AB - A summary of the spectral theory for quasiperiodic sine- and sinh-Gordon equations is given. Analogies with whole-line solitons and scattering theory motivates the discussion. The relation between the ingredients in the inverse spectral solution of the periodic sine-Gordon equation and physical characteristics of sine-Gordon waves is emphasized. The explicit topics covered are summarized in the table of contents in the Introduction.

UR - http://www.scopus.com/inward/record.url?scp=36749107839&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749107839&partnerID=8YFLogxK

M3 - Article

VL - 23

SP - 1248

EP - 1277

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 7

ER -