Geodesic
Classification of Integrable Divergent $N$-Component Evolution Systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 2, pp. 192-208

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We use a symmetry approach to solve the classification problem for integrable $N$-component evolution systems having the form of conservation laws. We obtain complete lists of both isotropic and anisotropic systems of this type and find auto-Bдcklund transformations with a spectral parameter for all systems.
Keywords: symmetries, Bäcklund transformation
Mots-clés : evolution equations. 
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     author = {A. G. Meshkov and V. V. Sokolov},
     title = {Classification of {Integrable} {Divergent} $N${-Component} {Evolution} {Systems}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {192--208},
     publisher = {mathdoc},
     volume = {139},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_139_2_a1/}
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A. G. Meshkov; V. V. Sokolov. Classification of Integrable Divergent $N$-Component Evolution Systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 2, pp. 192-208. http://geodesic.mathdoc.fr/item/TMF_2004_139_2_a1/