M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Properties of the solitonic potentials of the heat operator”, TMF, 168:1 (2011), 13–23; Theoret. and Math. Phys., 168:1 (2011), 865

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 1, Pages 13–23
DOI: https://doi.org/10.4213/tmf6660 (Mi tmf6660)

This article is cited in 8 scientific papers (total in 8 papers)

Properties of the solitonic potentials of the heat operator

M. Boiti^a, F. Pempinelli^a, A. K. Pogrebkov^b

^a Dipartimento di Fisica, Università del Salento and Sezione INFN, Lecce, Italy
^b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Full-text PDF (446 kB) Citations (8)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf6660

Abstract: We study properties of the purely solitonic

τ

$\tau$ -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})

$(x_1,x_2)$ in dependence on the parameters of the potential.

Keywords: Kadomtsev–Petviashvili equation, soliton, asymptotic potential.

English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 1, Pages 865–874
DOI: https://doi.org/10.1007/s11232-011-0070-6

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Properties of the solitonic potentials of the heat operator”, TMF, 168:1 (2011), 13–23; Theoret. and Math. Phys., 168:1 (2011), 865–874

Citation in format AMSBIB

\Bibitem{BoiPemPog11}

\by M.~Boiti, F.~Pempinelli, A.~K.~Pogrebkov

\paper Properties of the~solitonic potentials of the~heat operator

\jour TMF

\yr 2011

\vol 168

\issue 1

\pages 13--23

\mathnet{http://mi.mathnet.ru/tmf6660}

\crossref{https://doi.org/10.4213/tmf6660}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3166267}

\transl

\jour Theoret. and Math. Phys.

\yr 2011

\vol 168

\issue 1

\pages 865--874

\crossref{https://doi.org/10.1007/s11232-011-0070-6}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000293631800002}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79961159526}

Linking options:

https://www.mathnet.ru/eng/tmf6660

https://doi.org/10.4213/tmf6660

https://www.mathnet.ru/eng/tmf/v168/i1/p13

This publication is cited in the following 8 articles:

Wu D., “The Direct Scattering Problem For Perturbed Kadomtsev-Petviashvili Multi Line Solitons”, J. Math. Phys., 62:9 (2021), 091513
Abenda S., Grinevich P.G., “Rational Degenerations of -Curves, Totally Positive Grassmannians and KP2-Solitons”, Commun. Math. Phys., 361:3 (2018), 1029–1081
Boiti M. Pempinelli F. Pogrebkov A.K., “Kpii: Cauchy-Jost Function, Darboux Transformations and Totally Nonnegative Matrices”, J. Phys. A-Math. Theor., 50:30 (2017), 304001
Shai Horowitz, Yair Zarmi, “Kadomtsev–Petviashvili II equation: Structure of asymptotic soliton webs”, Physica D: Nonlinear Phenomena, 300 (2015), 1
Zarmi Ya., “Vertex Dynamics in Multi-Soliton Solutions of Kadomtsev-Petviashvili II Equation”, Nonlinearity, 27:6 (2014), 1499–1523
Zarmi Ya., “Nonlinear Quantum-Dynamical System Based on the Kadomtsev-Petviashvili II Equation”, J. Math. Phys., 54:6 (2013), 063515
M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Extended resolvent of the heat operator with a multisoliton potential”, Theoret. and Math. Phys., 172:2 (2012), 1037–1051
Boiti M., Pempinelli F., Pogrebkov A.K., “Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions”, J Math Phys, 52:8 (2011), 083506

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	678
Full-text PDF :	206
References:	124
First page:	17

Registration to the website

Logotypes