Geodesic
On some set of models of magnets and chiral fields: integrability, Darboux transformation and exact solutions
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 164-179

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Two matrix linear systems which are the polynomial bunch with the complex parameter have been considered. The conditions of their compatibility have been find, also examples of integrable equations of magnets and chiral fields have been given. Some its exact solutions have been constructed. 
@article{ZNSL_2000_269_a12,
     author = {E. Sh. Gutshabash},
     title = {On some set of models of magnets and chiral fields: integrability, {Darboux} transformation and exact solutions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {164--179},
     publisher = {mathdoc},
     volume = {269},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a12/}
}
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E. Sh. Gutshabash. On some set of models of magnets and chiral fields: integrability, Darboux transformation and exact solutions. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 164-179. http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a12/