Korteweg–De Vries equation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Korteweg–De Vries equation" in English language version.

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Miura, Gardner & Kruskal 1968. Miura, Robert M.; Gardner, Clifford S.; Kruskal, Martin D. (1968), "Korteweg–De Vries equation and generalizations. II. Existence of conservation laws and constants of motion", J. Math. Phys., 9 (8): 1204–1209, Bibcode:1968JMP.....9.1204M, doi:10.1063/1.1664701, MR 0252826

archive.org

Darrigol 2005, p. 84. Darrigol, Olivier (2005). Worlds of Flow. Oxford ; New York: Oxford University Press. ISBN 978-0-19-856843-8.

arxiv.org

Grunert & Teschl 2009. Grunert, Katrin; Teschl, Gerald (2009), "Long-Time Asymptotics for the Korteweg–De Vries Equation via Nonlinear Steepest Descent", Math. Phys. Anal. Geom., vol. 12, no. 3, pp. 287–324, arXiv:0807.5041, Bibcode:2009MPAG...12..287G, doi:10.1007/s11040-009-9062-2, S2CID 8740754

doi.org

Zabusky & Kruskal 1965. Zabusky, N. J.; Kruskal, M. D. (1965). "Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States". Physical Review Letters. 15 (6): 240–243. doi:10.1103/PhysRevLett.15.240. ISSN 0031-9007.
Gardner et al. 1967. Gardner, Clifford S.; Greene, John M.; Kruskal, Martin D.; Miura, Robert M. (1967). "Method for Solving the Korteweg-deVries Equation". Physical Review Letters. 19 (19): 1095–1097. doi:10.1103/PhysRevLett.19.1095. ISSN 0031-9007.
Korteweg & de Vries 1895. Korteweg, D. J.; de Vries, G. (1895). "XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 39 (240): 422–443. doi:10.1080/14786449508620739. ISSN 1941-5982.
Miura, Gardner & Kruskal 1968. Miura, Robert M.; Gardner, Clifford S.; Kruskal, Martin D. (1968), "Korteweg–De Vries equation and generalizations. II. Existence of conservation laws and constants of motion", J. Math. Phys., 9 (8): 1204–1209, Bibcode:1968JMP.....9.1204M, doi:10.1063/1.1664701, MR 0252826
Lax 1968. Lax, Peter D. (1968). "Integrals of nonlinear equations of evolution and solitary waves". Communications on Pure and Applied Mathematics. 21 (5): 467–490. doi:10.1002/cpa.3160210503. ISSN 0010-3640.
Grunert & Teschl 2009. Grunert, Katrin; Teschl, Gerald (2009), "Long-Time Asymptotics for the Korteweg–De Vries Equation via Nonlinear Steepest Descent", Math. Phys. Anal. Geom., vol. 12, no. 3, pp. 287–324, arXiv:0807.5041, Bibcode:2009MPAG...12..287G, doi:10.1007/s11040-009-9062-2, S2CID 8740754
Chalub & Zubelli 2006. Chalub, Fabio A.C.C.; Zubelli, Jorge P. (2006). "Huygens' principle for hyperbolic operators and integrable hierarchies" (PDF). Physica D: Nonlinear Phenomena. 213 (2): 231–245. doi:10.1016/j.physd.2005.11.008.

harvard.edu

ui.adsabs.harvard.edu

Miura, Gardner & Kruskal 1968. Miura, Robert M.; Gardner, Clifford S.; Kruskal, Martin D. (1968), "Korteweg–De Vries equation and generalizations. II. Existence of conservation laws and constants of motion", J. Math. Phys., 9 (8): 1204–1209, Bibcode:1968JMP.....9.1204M, doi:10.1063/1.1664701, MR 0252826
Grunert & Teschl 2009. Grunert, Katrin; Teschl, Gerald (2009), "Long-Time Asymptotics for the Korteweg–De Vries Equation via Nonlinear Steepest Descent", Math. Phys. Anal. Geom., vol. 12, no. 3, pp. 287–324, arXiv:0807.5041, Bibcode:2009MPAG...12..287G, doi:10.1007/s11040-009-9062-2, S2CID 8740754

semanticscholar.org

api.semanticscholar.org

Grunert & Teschl 2009. Grunert, Katrin; Teschl, Gerald (2009), "Long-Time Asymptotics for the Korteweg–De Vries Equation via Nonlinear Steepest Descent", Math. Phys. Anal. Geom., vol. 12, no. 3, pp. 287–324, arXiv:0807.5041, Bibcode:2009MPAG...12..287G, doi:10.1007/s11040-009-9062-2, S2CID 8740754

ul.pt

cmaf.fc.ul.pt

Chalub & Zubelli 2006. Chalub, Fabio A.C.C.; Zubelli, Jorge P. (2006). "Huygens' principle for hyperbolic operators and integrable hierarchies" (PDF). Physica D: Nonlinear Phenomena. 213 (2): 231–245. doi:10.1016/j.physd.2005.11.008.

worldcat.org

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Zabusky & Kruskal 1965. Zabusky, N. J.; Kruskal, M. D. (1965). "Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States". Physical Review Letters. 15 (6): 240–243. doi:10.1103/PhysRevLett.15.240. ISSN 0031-9007.
Gardner et al. 1967. Gardner, Clifford S.; Greene, John M.; Kruskal, Martin D.; Miura, Robert M. (1967). "Method for Solving the Korteweg-deVries Equation". Physical Review Letters. 19 (19): 1095–1097. doi:10.1103/PhysRevLett.19.1095. ISSN 0031-9007.
Korteweg & de Vries 1895. Korteweg, D. J.; de Vries, G. (1895). "XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 39 (240): 422–443. doi:10.1080/14786449508620739. ISSN 1941-5982.
Dunajski 2009. Dunajski, Maciej (2009). Solitons, Instantons, and Twistors. Oxford ; New York: OUP Oxford. ISBN 978-0-19-857063-9. OCLC 320199531.
Lax 1968. Lax, Peter D. (1968). "Integrals of nonlinear equations of evolution and solitary waves". Communications on Pure and Applied Mathematics. 21 (5): 467–490. doi:10.1002/cpa.3160210503. ISSN 0010-3640.
Dunajski 2009, pp. 31–32. Dunajski, Maciej (2009). Solitons, Instantons, and Twistors. Oxford ; New York: OUP Oxford. ISBN 978-0-19-857063-9. OCLC 320199531.
Dauxois & Peyrard 2006. Dauxois, Thierry; Peyrard, Michel (2006). Physics of Solitons. Cambridge, UK ; New York: Cambridge University Press. ISBN 0-521-85421-0. OCLC 61757137.