Extended resolvent of the heat operator with a multisoliton potential
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We consider the heat operator with a general multisoliton potential and derive its extended resolvent depending on a parameter q ∈ ℝ2. We show that it is bounded in all variables and find its singularities in q. We introduce the Green’s functions and study their properties in detail.
KeywordsKadomtsev-Petviashvili equation heat operator extended resolvent soliton
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