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Found 144 Documents (Results 1–100)

Bäcklund transformations: a tool to study abelian and non-abelian nonlinear evolution equations. (English) Zbl 1492.35013

Filipuk, Galina (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. Singapore: World Scientific. 145-161 (2022).
MSC:  35A22 35Q53 58J72
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Advances in analysis. The legacy of Elias M. Stein. Proceedings of the conference “Analysis and applications” held in honor of the 80th birthday of Elias M. Stein, Princeton, NJ, USA, May 16–20, 2011. (English) Zbl 1280.00100

Princeton Mathematical Series 50. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15941-6/hbk; 978-1-400-84893-5/ebook). ix, 461 p. (2014).
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Noncommutative analysis, Multivariable spectral theory for operators in Hilbert space, Probability, and Unitary Representations. arXiv:1408.1164

Preprint, arXiv:1408.1164 [math.FA] (2014).
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Moutard transformation and its application to some physical problems. I. The case of two independent variables. (English. Russian original) Zbl 1325.37051

J. Math. Sci., New York 192, No. 1, 57-69 (2013); translation from Zap. Nauchn. Semin. POMI 398, 100-124 (2012).
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Differential forms and boundary integral equations for Maxwell-type problems. (English) Zbl 1250.78009

Langer, Ulrich (ed.) et al., Fast boundary element methods in engineering and industrial applications. Berlin: Springer (ISBN 978-3-642-25669-1/hbk; 978-3-642-25670-7/ebook). Lecture Notes in Applied and Computational Mechanics 63, 1-62 (2012).
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Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering. (English) Zbl 1081.35001

Mathematical and Analytical Techniques with Applications to Engineering. New York, NY: Springer (ISBN 0-387-25060-3/hbk; 0-387-25265-7/ebook). xvi, 352 p. (2005).
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Exact solutions for a family of variable-coefficient “reaction–Duffing” equations via the Bäcklund transformation. (English. Russian original) Zbl 1129.35432

Theor. Math. Phys. 132, No. 1, 970-975 (2002); translation from Teor. Mat. Fiz. 132, No. 1, 90-96 (2002).
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Exactly integrable hyperbolic equations of Liouville type. (English. Russian original) Zbl 1003.35093

Russ. Math. Surv. 56, No. 1, 61-101 (2001); translation from Usp. Mat. Nauk 56, No. 1, 63-106 (2001).
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Convex integrands of div-curl couples. (English) Zbl 0994.58013

Rodino, L. (ed.), Proceedings of the workshop on partial differential equations, Torino, Italy, May 8-10, 2000. Torino: Università di Torino, Dipartimento di Matematica, 75-81 (2000).
MSC:  58J10 44A15 35N05 35J45 47F05
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Modeling of solutions to the heat equation and to the Stefan problem with reducing the dimension. (English. Russian original) Zbl 0962.35084

Dokl. Math. 58, No. 1, 88-90 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 4, 450-452 (1998).
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Operator algebras associated with resurgent transforms and differential equations on manifolds with singularities. (English) Zbl 0941.47057

Demuth, Michael (ed.) et al., Spectral theory, microlocal analysis, singular manifolds. Berlin: Akademie Verlag. Math. Top. 14, 300-333 (1997).
MSC:  47L10 44A15 58J40
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Bäcklund transformations and hierarchies of exact solutions for the fourth Painlevé equation and their application to discrete equations. (English) Zbl 0862.34003

Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 63-77 (1996).
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Approximate symmetries and conservation laws. (English. Russian original) Zbl 0813.58061

Proc. Steklov Inst. Math. 200, 35-47 (1993); translation from Tr. Mat. Inst. Steklova 200, 35-45 (1991).
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Commutational representations and Bäcklund transformations for the one- dimensional nonlinear equation of evolution. (English) Zbl 0792.35073

Barbu, V. (ed.), Differential equations and control theory. Proceedings of an international conference on differential equations and control theory, held in Iasi, Romania, August 27-September 1, 1990. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 250, 289-295 (1991).
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Algebraic and spectral methods for nonlinear wave equations. (English) Zbl 0728.35001

Pitman Monographs and Surveys in Pure and Applied Mathematics, 49. Harlow: Longman Scientific & Technical; New York: John Wiley & Sons, Inc. xvii, 417 p. £69.00 (1990).
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Perturbation methods in group analysis. (English. Russian original) Zbl 0759.35003

J. Sov. Math. 55, No. 1, 1450-1490 (1991); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Noveishie Dostizh. 34, 85-147 (1989).
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