Properties of the solitonic potentials of the heat operator

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

Properties of the pure solitonic $\tau$-function and potential of the heat
equation are studied in detail. We describe the asymptotic behavior of the
potential and identify the ray structure of this asymptotic behavior on the
$x$-plane in dependence on the parameters of the potential.

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