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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 3, Pages 364–378
DOI: https://doi.org/10.4213/tmf6356 (Mi tmf6356) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Building an extended resolvent of the heat operator via twisting transformations

M. Boitia, F. Pempinellia, A. K. Pogrebkovb, B. Prinaria

a Lecce University
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (457 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf6356
Abstract: We introduce twisting transformations for the heat operator. By the simultaneous use of these transformations, $N$ solitons are superimposed à la Darboux on a generic smooth potential decaying at infinity, and the corresponding Jost solutions are generated. We also use these twisting operators to study the existence of the related extended resolvent. We study the existence and uniqueness of the extended resolvent in detail in the case of $N$ solitons with $N$ "incoming" rays and one "outgoing" ray.
Keywords: Darboux transformation, multidimensional soliton, annihilator.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 721–733
DOI: https://doi.org/10.1007/s11232-009-0060-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Building an extended resolvent of the heat operator via twisting transformations”, TMF, 159:3 (2009), 364–378; Theoret. and Math. Phys., 159:3 (2009), 721–733
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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