Sine-Gordon equation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Sine-Gordon equation" in English language version.

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19doi.org

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16harvard.edu

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5semanticscholar.org

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3springer.com

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1bnf.fr

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ams.org

Terng, C. L., & Uhlenbeck, K. (2000). "Geometry of solitons" (PDF). Notices of the AMS. 47 (1): 17–25.{{cite journal}}: CS1 maint: multiple names: authors list (link)

aps.org

journals.aps.org

Coleman, Sidney (15 April 1975). "Quantum sine-Gordon equation as the massive Thirring model". Physical Review D. 11 (8): 2088–2097. Bibcode:1975PhRvD..11.2088C. doi:10.1103/PhysRevD.11.2088. Retrieved 27 January 2023.

arxiv.org

Bowcock, Peter; Tzamtzis, Georgios (2007). "The complex sine-Gordon model on a half line". Journal of High Energy Physics. 2007 (3): 047. arXiv:hep-th/0203139. Bibcode:2007JHEP...03..047B. doi:10.1088/1126-6708/2007/03/047. S2CID 119501952.
Fröb, Markus B.; Cadamuro, Daniela (2022). "Local operators in the Sine-Gordon model: $\partial_μϕ\, \partial_νϕ$ and the stress tensor". arXiv:2205.09223 [math-ph].
Chandra, Ajay; Hairer, Martin; Shen, Hao (2018). "The dynamical sine-Gordon model in the full subcritical regime". arXiv:1808.02594 [math.PR].
Hairer, Martin; Shen, Hao (February 2016). "The Dynamical Sine-Gordon Model". Communications in Mathematical Physics. 341 (3): 933–989. arXiv:1409.5724. Bibcode:2016CMaPh.341..933H. doi:10.1007/s00220-015-2525-3. S2CID 253750515. Retrieved 14 May 2023.
Inami, Takeo; Odake, Satoru; Zhang, Yao-Zhong (1995). "Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions". Physics Letters B. 359 (1): 118–124. arXiv:hep-th/9506157. Bibcode:1995PhLB..359..118I. doi:10.1016/0370-2693(95)01072-X. S2CID 18230581.
Faddeev, L. D. (1996). "How Algebraic Bethe Ansatz works for integrable model". arXiv:hep-th/9605187.

bnf.fr

gallica.bnf.fr

Bour, Edmond (1862). "Theorie de la deformation des surfaces". Journal de l'École impériale polytechnique. 22 (39): 1–148. OCLC 55567842.

cogprints.org

Georgiev D. D.; Papaioanou S. N.; Glazebrook J. F. (2004). "Neuronic system inside neurons: molecular biology and biophysics of neuronal microtubules". Biomedical Reviews. 15: 67–75. doi:10.14748/bmr.v15.103.

doi.org

Hirota, Ryogo (November 1972). "Exact Solution of the Sine-Gordon Equation for Multiple Collisions of Solitons". Journal of the Physical Society of Japan. 33 (5): 1459–1463. Bibcode:1972JPSJ...33.1459H. doi:10.1143/JPSJ.33.1459.
Malomed, Boris A. (2014), Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Williams, Floyd (eds.), "The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons", The sine-Gordon Model and its Applications, vol. 10, Cham: Springer International Publishing, pp. 1–30, doi:10.1007/978-3-319-06722-3_1, ISBN 978-3-319-06721-6, retrieved 2023-11-17
Rubinstein, Julio (1970). "Sine-Gordon equation". Journal of Mathematical Physics. 11 (1): 258–266. Bibcode:1970JMP....11..258R. doi:10.1063/1.1665057.
Georgiev D. D.; Papaioanou S. N.; Glazebrook J. F. (2004). "Neuronic system inside neurons: molecular biology and biophysics of neuronal microtubules". Biomedical Reviews. 15: 67–75. doi:10.14748/bmr.v15.103.
Yuanxi, Xie; Tang, Jiashi (February 2006). "A unified method for solving sinh-Gordon–type equations". Il Nuovo Cimento B. 121 (2): 115–121. Bibcode:2006NCimB.121..115X. doi:10.1393/ncb/i2005-10164-6.
McKean, H. P. (1981). "The sine-Gordon and sinh-Gordon equations on the circle". Communications on Pure and Applied Mathematics. 34 (2): 197–257. doi:10.1002/cpa.3160340204.
Bowcock, Peter; Tzamtzis, Georgios (2007). "The complex sine-Gordon model on a half line". Journal of High Energy Physics. 2007 (3): 047. arXiv:hep-th/0203139. Bibcode:2007JHEP...03..047B. doi:10.1088/1126-6708/2007/03/047. S2CID 119501952.
Korepin, V. E. (1979). "Direct calculation of the S matrix in the massive Thirring model". Theoretical and Mathematical Physics. 41 (2): 953–967. Bibcode:1979TMP....41..953K. doi:10.1007/bf01028501. S2CID 121527379.
Takada, Satoshi; Misawa, Susumu (1981). "The Quantum Sine-Gordon Model and the Fermi-Bose Relation". Progress of Theoretical Physics. 66 (1): 101–117. Bibcode:1981PThPh..66..101T. doi:10.1143/ptp.66.101.
Bogoliubov, N. M.; Korepin, V. E.; Izergin, A. G. (1985). "Structure of the vacuum in the quantum sine-Gordon model". Physics Letters B. 159 (4): 345–347. Bibcode:1985PhLB..159..345B. doi:10.1016/0370-2693(85)90264-3.
Faddeev, L. D.; Korepin, V. E. (1978). "Quantum theory of solitons". Physics Reports. 42 (1): 1–87. Bibcode:1978PhR....42....1F. doi:10.1016/0370-1573(78)90058-3.
Zamolodchikov, Alexander B.; Zamolodchikov, Alexey B. (1978). "Relativistic factorized S-matrix in two dimensions having O(N) isotopic symmetry". Nuclear Physics B. 133 (3): 525–535. Bibcode:1978NuPhB.133..525Z. doi:10.1016/0550-3213(78)90239-0.
Coleman, Sidney (15 April 1975). "Quantum sine-Gordon equation as the massive Thirring model". Physical Review D. 11 (8): 2088–2097. Bibcode:1975PhRvD..11.2088C. doi:10.1103/PhysRevD.11.2088. Retrieved 27 January 2023.
Hairer, Martin; Shen, Hao (February 2016). "The Dynamical Sine-Gordon Model". Communications in Mathematical Physics. 341 (3): 933–989. arXiv:1409.5724. Bibcode:2016CMaPh.341..933H. doi:10.1007/s00220-015-2525-3. S2CID 253750515. Retrieved 14 May 2023.
Inami, Takeo; Odake, Satoru; Zhang, Yao-Zhong (1995). "Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions". Physics Letters B. 359 (1): 118–124. arXiv:hep-th/9506157. Bibcode:1995PhLB..359..118I. doi:10.1016/0370-2693(95)01072-X. S2CID 18230581.
José, Jorge (15 November 1976). "Sine-Gordon theory and the classical two-dimensional x − y model". Physical Review D. 14 (10): 2826–2829. Bibcode:1976PhRvD..14.2826J. doi:10.1103/PhysRevD.14.2826.
Fröhlich, Jürg (October 1976). "Classical and quantum statistical mechanics in one and two dimensions: Two-component Yukawa — and Coulomb systems". Communications in Mathematical Physics. 47 (3): 233–268. Bibcode:1976CMaPh..47..233F. doi:10.1007/BF01609843. S2CID 120798940.
Ohta, T.; Kawasaki, K. (1 August 1978). "Renormalization Group Theory of the Interfacial Roughening Transition". Progress of Theoretical Physics. 60 (2): 365–379. Bibcode:1978PThPh..60..365O. doi:10.1143/PTP.60.365.
Kogut, John B. (1 October 1979). "An introduction to lattice gauge theory and spin systems". Reviews of Modern Physics. 51 (4): 659–713. Bibcode:1979RvMP...51..659K. doi:10.1103/RevModPhys.51.659.

harvard.edu

ui.adsabs.harvard.edu

Hirota, Ryogo (November 1972). "Exact Solution of the Sine-Gordon Equation for Multiple Collisions of Solitons". Journal of the Physical Society of Japan. 33 (5): 1459–1463. Bibcode:1972JPSJ...33.1459H. doi:10.1143/JPSJ.33.1459.
Rubinstein, Julio (1970). "Sine-Gordon equation". Journal of Mathematical Physics. 11 (1): 258–266. Bibcode:1970JMP....11..258R. doi:10.1063/1.1665057.
Yuanxi, Xie; Tang, Jiashi (February 2006). "A unified method for solving sinh-Gordon–type equations". Il Nuovo Cimento B. 121 (2): 115–121. Bibcode:2006NCimB.121..115X. doi:10.1393/ncb/i2005-10164-6.
Bowcock, Peter; Tzamtzis, Georgios (2007). "The complex sine-Gordon model on a half line". Journal of High Energy Physics. 2007 (3): 047. arXiv:hep-th/0203139. Bibcode:2007JHEP...03..047B. doi:10.1088/1126-6708/2007/03/047. S2CID 119501952.
Korepin, V. E. (1979). "Direct calculation of the S matrix in the massive Thirring model". Theoretical and Mathematical Physics. 41 (2): 953–967. Bibcode:1979TMP....41..953K. doi:10.1007/bf01028501. S2CID 121527379.
Takada, Satoshi; Misawa, Susumu (1981). "The Quantum Sine-Gordon Model and the Fermi-Bose Relation". Progress of Theoretical Physics. 66 (1): 101–117. Bibcode:1981PThPh..66..101T. doi:10.1143/ptp.66.101.
Bogoliubov, N. M.; Korepin, V. E.; Izergin, A. G. (1985). "Structure of the vacuum in the quantum sine-Gordon model". Physics Letters B. 159 (4): 345–347. Bibcode:1985PhLB..159..345B. doi:10.1016/0370-2693(85)90264-3.
Faddeev, L. D.; Korepin, V. E. (1978). "Quantum theory of solitons". Physics Reports. 42 (1): 1–87. Bibcode:1978PhR....42....1F. doi:10.1016/0370-1573(78)90058-3.
Zamolodchikov, Alexander B.; Zamolodchikov, Alexey B. (1978). "Relativistic factorized S-matrix in two dimensions having O(N) isotopic symmetry". Nuclear Physics B. 133 (3): 525–535. Bibcode:1978NuPhB.133..525Z. doi:10.1016/0550-3213(78)90239-0.
Coleman, Sidney (15 April 1975). "Quantum sine-Gordon equation as the massive Thirring model". Physical Review D. 11 (8): 2088–2097. Bibcode:1975PhRvD..11.2088C. doi:10.1103/PhysRevD.11.2088. Retrieved 27 January 2023.
Hairer, Martin; Shen, Hao (February 2016). "The Dynamical Sine-Gordon Model". Communications in Mathematical Physics. 341 (3): 933–989. arXiv:1409.5724. Bibcode:2016CMaPh.341..933H. doi:10.1007/s00220-015-2525-3. S2CID 253750515. Retrieved 14 May 2023.
Inami, Takeo; Odake, Satoru; Zhang, Yao-Zhong (1995). "Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions". Physics Letters B. 359 (1): 118–124. arXiv:hep-th/9506157. Bibcode:1995PhLB..359..118I. doi:10.1016/0370-2693(95)01072-X. S2CID 18230581.
José, Jorge (15 November 1976). "Sine-Gordon theory and the classical two-dimensional x − y model". Physical Review D. 14 (10): 2826–2829. Bibcode:1976PhRvD..14.2826J. doi:10.1103/PhysRevD.14.2826.
Fröhlich, Jürg (October 1976). "Classical and quantum statistical mechanics in one and two dimensions: Two-component Yukawa — and Coulomb systems". Communications in Mathematical Physics. 47 (3): 233–268. Bibcode:1976CMaPh..47..233F. doi:10.1007/BF01609843. S2CID 120798940.
Ohta, T.; Kawasaki, K. (1 August 1978). "Renormalization Group Theory of the Interfacial Roughening Transition". Progress of Theoretical Physics. 60 (2): 365–379. Bibcode:1978PThPh..60..365O. doi:10.1143/PTP.60.365.
Kogut, John B. (1 October 1979). "An introduction to lattice gauge theory and spin systems". Reviews of Modern Physics. 51 (4): 659–713. Bibcode:1979RvMP...51..659K. doi:10.1103/RevModPhys.51.659.

projecteuclid.org

Fröhlich, Jürg (October 1976). "Classical and quantum statistical mechanics in one and two dimensions: Two-component Yukawa — and Coulomb systems". Communications in Mathematical Physics. 47 (3): 233–268. Bibcode:1976CMaPh..47..233F. doi:10.1007/BF01609843. S2CID 120798940.

semanticscholar.org

api.semanticscholar.org

Bowcock, Peter; Tzamtzis, Georgios (2007). "The complex sine-Gordon model on a half line". Journal of High Energy Physics. 2007 (3): 047. arXiv:hep-th/0203139. Bibcode:2007JHEP...03..047B. doi:10.1088/1126-6708/2007/03/047. S2CID 119501952.
Korepin, V. E. (1979). "Direct calculation of the S matrix in the massive Thirring model". Theoretical and Mathematical Physics. 41 (2): 953–967. Bibcode:1979TMP....41..953K. doi:10.1007/bf01028501. S2CID 121527379.
Hairer, Martin; Shen, Hao (February 2016). "The Dynamical Sine-Gordon Model". Communications in Mathematical Physics. 341 (3): 933–989. arXiv:1409.5724. Bibcode:2016CMaPh.341..933H. doi:10.1007/s00220-015-2525-3. S2CID 253750515. Retrieved 14 May 2023.
Inami, Takeo; Odake, Satoru; Zhang, Yao-Zhong (1995). "Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions". Physics Letters B. 359 (1): 118–124. arXiv:hep-th/9506157. Bibcode:1995PhLB..359..118I. doi:10.1016/0370-2693(95)01072-X. S2CID 18230581.
Fröhlich, Jürg (October 1976). "Classical and quantum statistical mechanics in one and two dimensions: Two-component Yukawa — and Coulomb systems". Communications in Mathematical Physics. 47 (3): 233–268. Bibcode:1976CMaPh..47..233F. doi:10.1007/BF01609843. S2CID 120798940.

springer.com

link.springer.com

Malomed, Boris A. (2014), Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Williams, Floyd (eds.), "The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons", The sine-Gordon Model and its Applications, vol. 10, Cham: Springer International Publishing, pp. 1–30, doi:10.1007/978-3-319-06722-3_1, ISBN 978-3-319-06721-6, retrieved 2023-11-17
Hairer, Martin; Shen, Hao (February 2016). "The Dynamical Sine-Gordon Model". Communications in Mathematical Physics. 341 (3): 933–989. arXiv:1409.5724. Bibcode:2016CMaPh.341..933H. doi:10.1007/s00220-015-2525-3. S2CID 253750515. Retrieved 14 May 2023.
Mazo, Juan J.; Ustinov, Alexey V. (2014). "The sine-Gordon Equation in Josephson-Junction Arrays". The sine-Gordon Model and its Applications: From Pendula and Josephson Junctions to Gravity and High-Energy Physics. Springer International Publishing. pp. 155–175. ISBN 978-3-319-06722-3. Retrieved 22 August 2023.

tversu.ru

homepages.tversu.ru

Miroshnichenko A. E., Vasiliev A. A., Dmitriev S. V. Solitons and Soliton Collisions.

worldcat.org

search.worldcat.org

Bour, Edmond (1862). "Theorie de la deformation des surfaces". Journal de l'École impériale polytechnique. 22 (39): 1–148. OCLC 55567842.