Sine-Gordon equation and nonlinear σ model on a lattice

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A discrete generalization of the sine-Gordon equation on a lattice is studied. The corresponding Bäcklund transformations, soliton solutions, action principle, conservation laws, and inverse scattering equations are obtained. The connection to a discrete version of the two-dimensional nonlinear σ model is found.

Original languageEnglish (US)
Pages (from-to)3828-3832
Number of pages5
JournalPhysical Review D
Issue number10
StatePublished - 1978

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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