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Found 179 Documents (Results 1–100)

Surfaces via spinors and soliton equations. (English) Zbl 07822628

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2638-2654 (2023).
MSC:  53A10 35B38 35Q51
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The finite-gap method and the periodic Cauchy problem for \((2+1)\)-dimensional anomalous waves for the focusing Davey-Stewartson 2 equation. (English. Russian original) Zbl 1522.35465

Russ. Math. Surv. 77, No. 6, 1029-1059 (2022); translation from Usp. Mat. Nauk 77, No. 6, 77-108 (2022).
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Inverse scattering and global well-posedness in one and two space dimensions. (English) Zbl 1442.35429

Miller, Peter D. (ed.) et al., Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. New York, NY: Springer; Toronto, ON: The Fields Institute for Research in Mathematical Scienes. Fields Inst. Commun. 83, 161-252 (2019).
MSC:  35Q55 37K15 35P25
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Solution of the initial value problem for the focusing Davey-Stewartson II system. (English) Zbl 1428.35521

Kuchment, Peter (ed.) et al., Differential equations, mathematical physics, and applications. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 734, 249-265 (2019).
MSC:  35Q55 35Q41 35R30
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Lie-Bäcklund-Darboux transformations. (English) Zbl 1301.37054

Surveys of Modern Mathematics 8. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-288-6/pbk). ix, 161 p. (2014).
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Gauge-invariant description of several \((2+1)\)-dimensional integrable nonlinear evolution equations. (English. Russian original) Zbl 1179.35264

Theor. Math. Phys. 160, No. 1, 905-916 (2009); translation from Teor. Mat. Fiz. 160, No. 1, 35-48 (2009).
MSC:  35Q51 35A30
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Relation between periodic soliton resonance and instability. (English) Zbl 1100.35517

Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 486-492 (2004).
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Periodic soliton resonances. (English) Zbl 1118.76308

Gao, David Y., Complementary, duality and symmetry in nonlinear mechanics. Proceedings of the IUTAM symposium, Shanghai, China, August 13–16, 2002. Dedicated Professor Wei-Zhang Chien on the occasion of his 90th birthday. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7887-0/hbk). Advances in Mechanics and Mathematics 6, 277-287 (2004).
MSC:  76B25 35Q51
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