Geodesic
Nonlinear $\sigma$ model for the Dodd–Bullough equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 192-199 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that the Dodd–Bullough equation is related to the nonlinear two-dimensional $\rm SL(3,R)$ sigma model in which a triplet of massless fields takes values on a sphere of three-dimensional unimodular affine space in the same way that the sine-Gordon equation is related to the $S^2$ sigma model, which describes a three-component field with values on a sphere of ordinary three-dimensional Euclidean space. Equations of motion are obtained for the $\rm SL(3,R)$ sigma model. 
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     author = {V. V. Nesterenko},
     title = {Nonlinear $\sigma$ model for the {Dodd{\textendash}Bullough} equation},
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V. V. Nesterenko. Nonlinear $\sigma$ model for the Dodd–Bullough equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 192-199. http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a3/

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