Geodesic
Do nonsingular globaly bounded positon solutions exist?
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 38-49

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The positon solutions discovered so far for several nonlinear evolution equations are singular solutions. It is shown that for a discrete version of the well known sinh-Gordon equation non-singular positon solutions exist. Under appropriate restrictions on the parameters of the construction they are globaly bounded. In the continuum limit the corresponding (singular) solutions of the sinh-Gordon equation are recovered. Bibliography: 11 titles. 
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     author = {Roland Beutler and Vladimir B. Matveev},
     title = {Do nonsingular globaly bounded positon solutions exist?},
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Roland Beutler; Vladimir B. Matveev. Do nonsingular globaly bounded positon solutions exist?. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 38-49. http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a1/