A Green’s function for a linear equation associated with solitons
- 1 October 1977
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (10) , 2008-2013
- https://doi.org/10.1063/1.523174
Abstract
A linear equation associated with nonlinear waveequations 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.Keywords
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