V. E. Adler, I. T. Habibullin, A. B. Shabat, “Boundary value problem for the KdV equation on a half-line”, TMF, 110:1 (1997), 98–113; Theoret. and Math. Phys., 110:1 (1997), 78

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, 1997, Volume 110, Number 1, Pages 98–113
DOI: https://doi.org/10.4213/tmf955 (Mi tmf955)

This article is cited in 23 scientific papers (total in 23 papers)

Boundary value problem for the KdV equation on a half-line

V. E. Adler^a, I. T. Habibullin^a, A. B. Shabat^b

^a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
^b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Full-text PDF (301 kB) Citations (23)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf955

Abstract: The $L$–$A$ pair corresponding to the boundary value problem with the condition $u|_{x=0}=a$ for the KdV equation is presented. A broad class of exact solutions to this equation is constructed and the conservation laws are discussed.

Received: 01.08.1996

English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 1, Pages 78–90
DOI: https://doi.org/10.1007/BF02630371

Bibliographic databases:

Language: Russian

Citation: V. E. Adler, I. T. Habibullin, A. B. Shabat, “Boundary value problem for the KdV equation on a half-line”, TMF, 110:1 (1997), 98–113; Theoret. and Math. Phys., 110:1 (1997), 78–90

Citation in format AMSBIB

\Bibitem{AdlHabSha97}

\by V.~E.~Adler, I.~T.~Habibullin, A.~B.~Shabat

\paper Boundary value problem for the KdV equation on a half-line

\jour TMF

\yr 1997

\vol 110

\issue 1

\pages 98--113

\mathnet{http://mi.mathnet.ru/tmf955}

\crossref{https://doi.org/10.4213/tmf955}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472018}

\zmath{https://zbmath.org/?q=an:0916.35100}

\transl

\jour Theoret. and Math. Phys.

\yr 1997

\vol 110

\issue 1

\pages 78--90

\crossref{https://doi.org/10.1007/BF02630371}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XQ00500007}

Linking options:

https://www.mathnet.ru/eng/tmf955

https://doi.org/10.4213/tmf955

https://www.mathnet.ru/eng/tmf/v110/i1/p98

This publication is cited in the following 23 articles:

Dianlou Du, Xue Wang, “A new finite-dimensional Hamiltonian systems with a mixed Poisson structure for the KdV equation”, Theoret. and Math. Phys., 211:3 (2022), 745–757
Dubrovsky V.G., Topovsky V A., “Multi-Soliton Solutions of Kp Equation With Integrable Boundary Via Partial Differential -Dressing Method”, Physica D, 428 (2021), 133025
Dubrovsky V.G., Topovsky V A., “Multi-Lump Solutions of Kp Equation With Integrable Boundary Via Partial Derivative-Dressing Method”, Physica D, 414 (2020), 132740
Habibullin I.T., Khakimova A.R., “On a Method For Constructing the Lax pairs For Integrable Models Via a Quadratic Ansatz”, J. Phys. A-Math. Theor., 50:30 (2017), 305206
Ignatyev M.Yu., “On the Solutions of Some Boundary Value Problems For the General KdV Equation”, Math. Phys. Anal. Geom., 17:3-4 (2014), 493–509
M. Yu. Ignatev, “O resheniyakh nekotorykh kraevykh zadach dlya obschego uravneniya KdF”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 13:1(2) (2013), 46–49
Ignatyev M.Yu., “On Solutions of the Integrable Boundary Value Problem for KdV Equation on the Semi-Axis”, Math. Phys. Anal. Geom., 16:1 (2013), 19–47
Ignatyev M.Yu., “On Solution of the Integrable Initial Boundary Value Problem for KdV Equation on the Semi-Axis”, Math. Phys. Anal. Geom., 16:4 (2013), 381–392
V. L. Vereshchagin, “Explicit solutions of an integrable boundary value problem for the two-dimensional Toda lattice”, Theoret. and Math. Phys., 165:1 (2010), 1256–1261
Vereschagin V.L., “Integrable boundary problems for 2D Toda lattice”, Phys Lett A, 374:46 (2010), 4653–4657
Fokas A.S., “Lax pairs: a novel type of separability”, Inverse Problems, 25:12 (2009), 123007
Gurses, M, “Integrable boundary value problems for elliptic type Toda lattice in a disk”, Journal of Mathematical Physics, 48:10 (2007), 102702
V. L. Vereshchagin, “Integrable boundary-value problem for the Volterra chain on the half-axis”, Math. Notes, 80:5 (2006), 658–662
Fokas, AS, “The nonlinear Schrodinger equation on the half-line”, Nonlinearity, 18:4 (2005), 1771
Fokas, AS, “Linearizable initial boundary value problems for the sine-Gordon equation on the half-line”, Nonlinearity, 17:4 (2004), 1521
A. B. Shabat, “Universal Models of Soliton Hierarchies”, Theoret. and Math. Phys., 136:2 (2003), 1066–1076
I. T. Habibullin, “Initial Boundary Value Problem for the KdV Equation on a Semiaxis with Homogeneous Boundary Conditions”, Theoret. and Math. Phys., 130:1 (2002), 25–44
Fokas, AS, “Integrable Nonlinear evolution equations on the half-line”, Communications in Mathematical Physics, 230:1 (2002), 1
I. T. Habibullin, “An Initial-Boundary Value Problem on the Half-Line for the MKdV Equation”, Funct. Anal. Appl., 34:1 (2000), 52–59
I. T. Habibullin, “KdV equation on a half-line with the zero boundary condition”, Theoret. and Math. Phys., 119:3 (1999), 712–718

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

Statistics & downloads:
Abstract page:	785
Full-text PDF :	355
References:	108
First page:	3

Registration to the website

Logotypes