Geodesic
Properties of the~solitonic potentials of the~heat operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 13-23

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We study properties of the purely solitonic $\tau$-function and potential of the heat equation in detail. We describe the asymptotic behavior of the potential and establish the ray structure of this asymptotic behavior on the plane $(x_1,x_2)$ in dependence on the parameters of the potential.
Keywords: Kadomtsev–Petviashvili equation, asymptotic potential.
Mots-clés : soliton 
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     title = {Properties of the~solitonic potentials of the~heat operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a1/}
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M. Boiti; F. Pempinelli; A. K. Pogrebkov. Properties of the~solitonic potentials of the~heat operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 13-23. http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a1/