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Integrability and Diffeomorphisms on Target Space
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under certain assumptions, it turns out that these conservation laws are, in fact, generated by a class of geometric target space transformations, namely the volume-preserving diffeomorphisms. We classify the possible conservation laws of field theories for the case of a three-dimensional target space. Further, we discuss some explicit examples.
Keywords: integrability; zero curvature; conservation laws; nonlinear field theories. 
@article{SIGMA_2007_3_a122,
     author = {Christoph Adam and Joaquin Sanchez-Guillen and Andrzej Wereszczynski},
     title = {Integrability and {Diffeomorphisms} on {Target} {Space}},
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     year = {2007},
     volume = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a122/}
}
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Christoph Adam; Joaquin Sanchez-Guillen; Andrzej Wereszczynski. Integrability and Diffeomorphisms on Target Space. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a122/

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