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Found 82 Documents (Results 1–82)

Soliton dynamics for the general Degasperis-Procesi equation. (English) Zbl 1428.35394

Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 445-454 (2019).
MSC:  35Q35 35C08
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Multi-soliton collision for essentially nonintegrable equations. (English) Zbl 1383.35045

Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 153-170 (2017).
MSC:  35C08 35B25 35Q53
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Collision of solitons for a non-homogenous version of the KdV equation: asymptotics and numerical simulation. (English) Zbl 1368.65143

Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 517-524 (2017).
MSC:  65M06 35Q51 35Q53
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Weak asymptotics method and interaction of nonlinear waves. (English) Zbl 1140.35382

Karasev, M.V. (ed.), Asymptotic methods for wave and quantum problems. Providence, RI: American Mathematical Society (ISBN 0-8218-3336-7/hbk). Transl., Ser. 2, Am. Math. Soc. 208(53), 33-163 (2003).
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Geometric asymptotics for nonlinear PDE. I. Transl. from the Russian manuscript by D. Chibisov. (English) Zbl 0984.35001

Translations of Mathematical Monographs. 202. Providence, RI: American Mathematical Society (AMS). viii, 285 p. (2001).
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Calculation of the singularity dynamics for quadratic nonlinear hyperbolic equations. Example: The Hopf equation. (English) Zbl 0932.35144

Grosser, Michael (ed.) et al., Nonlinear theory of generalized functions. Proceedings of the workshop on nonlinear theory of nonlinear functions, Erwin-Schrödinger-Institute, Vienna, Austria, October–December 1997. Boca Raton, FL: Chapman & Hall. Chapman Hall/CRC Res. Notes Math. 401, 63-74 (1999).
MSC:  35L67 35D05 35R35
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Asymptotic solutions of the Cahn-Hilliard system in the fast relaxation case. (English. Russian original) Zbl 0983.35054

J. Math. Sci., New York 97, No. 3, 4027-4044 (1999); translation from Tr. Semin. Im. I. G. Petrovskogo 20, 48-80 (1997).
MSC:  35K50 35B35
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Stability and ”stabilization” of the solution of phase field system. (English) Zbl 0864.35062

Kenmochi, N. (ed.) et al., Proceedings of the Banach Center minisemester on nonlinear analysis and applications, Warsaw, Poland, November 14 – December 15, 1994. Tokyo: Gakkōtosho Co., Ltd. GAKUTO Int. Ser., Math. Sci. Appl. 7, 319-342 (1995).
MSC:  35K85 35K60 35K40
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Asymptotics of the solution to the phase field system and the modified Stefan problem. (English. Russian original) Zbl 0855.35134

Differ. Equations 31, No. 3, 446-454 (1995); translation from Differ. Uravn. 31, No. 3, 483-491 (1995).
MSC:  35R35 80A22
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Three-scale expansion of the solution of the magnetohydrodynamic equations and the Reynolds equation for a tokamak. (English. Russian original) Zbl 0818.76093

Theor. Math. Phys. 98, No. 2, 202-211 (1994); translation from Teor. Mat. Fiz. 98, No. 2, 297-311 (1994).
MSC:  76W05 76X05
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Kadomtsev-Pogutse type equations for the tokamak and for regions with arbitrary symmetry. (English. Russian original) Zbl 0785.76098

Sov. Phys., Dokl. 37, No. 9, 480-483 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 1, 83-90 (1992).
MSC:  76W05 35Q35
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Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the tokamak approximation. (English. Russian original) Zbl 0786.76102

Theor. Math. Phys. 92, No. 2, 879-895 (1992); translation from Teor. Mat. Fiz. 92, No. 2, 269-292 (1992).
MSC:  76W05 35B40
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Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion. (English. Russian original) Zbl 0567.35078

Math. USSR, Sb. 50, 191-212 (1985); translation from Mat. Sb., Nov. Ser. 122(164), No. 2, 197-219 (1983).
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Hugoniot-type conditions for infinitely narrow solutions of the equation for simple waves. (English. Russian original) Zbl 0547.35071

Sib. Math. J. 24, 787-795 (1983); translation from Sib. Mat. Zh. 24, No. 5(141), 172-182 (1983).
MSC:  35L60 35L67 76B15
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