Geodesic
Connection between lattice and continuum models for one-dimensional systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 219-230

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The correspondence between lattice and continuum models is investigated for the example of a one-dimensional system that includes interacting bosons and fermions. The results of numerical analysis of the lattice system are compared with the results of possible continuum models. A continuum model that makes it possible to explain the asymmetric solition shape, boundary effects, and other results obtained on the lattice is constructed. 
@article{TMF_1992_93_2_a2,
     author = {V. A. Il'ina and P. K. Silaev},
     title = {Connection between lattice and continuum models for one-dimensional systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {219--230},
     publisher = {mathdoc},
     volume = {93},
     number = {2},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a2/}
}
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V. A. Il'ina; P. K. Silaev. Connection between lattice and continuum models for one-dimensional systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 219-230. http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a2/