### Abstract

A linear equation associated with nonlinear wave equations which support solitons is analyzed. A complete set of solutions of this linear equation is described through the techniques of scattering theory. This set is used to construct an explicit representation of a Green's function for perturbation theory. The cases of the nonlinear Schrödinger and sine-Gordon equations are discussed in some detail.

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

Pages (from-to) | 2008-2013 |

Number of pages | 6 |

Journal | Journal of Mathematical Physics |

Volume | 18 |

Issue number | 10 |

State | Published - 1976 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*18*(10), 2008-2013.

**A Green's function for a linear equation associated with solitons.** / Keener, J. P.; McLaughlin, D. W.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 18, no. 10, pp. 2008-2013.

}

TY - JOUR

T1 - A Green's function for a linear equation associated with solitons

AU - Keener, J. P.

AU - McLaughlin, D. W.

PY - 1976

Y1 - 1976

N2 - A linear equation associated with nonlinear wave equations which support solitons is analyzed. A complete set of solutions of this linear equation is described through the techniques of scattering theory. This set is used to construct an explicit representation of a Green's function for perturbation theory. The cases of the nonlinear Schrödinger and sine-Gordon equations are discussed in some detail.

AB - A linear equation associated with nonlinear wave equations which support solitons is analyzed. A complete set of solutions of this linear equation is described through the techniques of scattering theory. This set is used to construct an explicit representation of a Green's function for perturbation theory. The cases of the nonlinear Schrödinger and sine-Gordon equations are discussed in some detail.

UR - http://www.scopus.com/inward/record.url?scp=36749106726&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749106726&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36749106726

VL - 18

SP - 2008

EP - 2013

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 10

ER -