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Complex Variables and Elliptic Equations
An International Journal
Volume 51, 2006 - Issue 5-6: A tribute to Richard Delanghe
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Original Articles

Factorization of the nonlinear Schrödinger equation and applications

S. Bernstein Institute of Applied Analysis, University of Mining and Technology, 09599 Freiberg, GermanyCorrespondence[email protected]
Pages 429-452 | Accepted 15 Nov 2005, Published online: 10 Oct 2011

Citations (17)

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S.A. Plaksa & V.S. Shpakivskyi. (2014) Cauchy theorem for a surface integral in commutative algebras. Complex Variables and Elliptic Equations 59:1, pages 110-119.
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Articles from other publishers (16)

Briceyda B. Delgado, Aarón Guillén‐Villalobos & Jorge E. Macías‐Díaz. (2023) On the construction of solutions for the parabolic Dirac operator and equivalent systems. Mathematical Methods in the Applied Sciences 46:17, pages 17927-17940.
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Nelson Faustino. (2023) On fractional semidiscrete Dirac operators of Lévy–Leblond type. Mathematische Nachrichten 296:7, pages 2758-2779.
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Sergiy A. Plaksa & Vitalii S. ShpakivskyiSergiy A. Plaksa & Vitalii S. Shpakivskyi. 2023. Monogenic Functions in Spaces with Commutative Multiplication and Applications. Monogenic Functions in Spaces with Commutative Multiplication and Applications 161 181 .
Sergiy A. Plaksa & Vitalii S. ShpakivskyiSergiy A. Plaksa & Vitalii S. Shpakivskyi. 2023. Monogenic Functions in Spaces with Commutative Multiplication and Applications. Monogenic Functions in Spaces with Commutative Multiplication and Applications 69 116 .
Sergiy A. Plaksa & Vitalii S. ShpakivskyiSergiy A. Plaksa & Vitalii S. Shpakivskyi. 2023. Monogenic Functions in Spaces with Commutative Multiplication and Applications. Monogenic Functions in Spaces with Commutative Multiplication and Applications 183 195 .
Judith Vanegas & Franklin Vargas. (2020) Theory of Integral Operators in Parametric Clifford Type Algebras. Complex Analysis and Operator Theory 14:1.
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Paula Cerejeiras, Uwe Kähler & R. Sören Kraußhar. 2019. Topics in Clifford Analysis. Topics in Clifford Analysis 173 190 .
Rosie Hayward & Fabio Biancalana. (2018) Constructing new nonlinear evolution equations with supersymmetry. Journal of Physics A: Mathematical and Theoretical 51:27, pages 275202.
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Judith Vanegas & Franklin Vargas. (2018) On Weighted Dirac Operators and Their Fundamental Solutions for Anisotropic Media. Advances in Applied Clifford Algebras 28:2.
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Charles Papillon & Sébastien Tremblay. (2018) On a three-dimensional Riccati differential equation and its symmetries. Journal of Mathematical Analysis and Applications 458:1, pages 611-627.
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P. Cerejeiras, U. Kähler & R. S. Kraußhar. 2018. Clifford Analysis and Related Topics. Clifford Analysis and Related Topics 19 37 .
S. A. Plaksa. 2012. Advances in Applied Analysis. Advances in Applied Analysis 177 223 .
Swanhild Bernstein, Svend Ebert & Rolf Sören Kraußhar. (2010) On the diffusion equation and diffusion wavelets on flat cylinders and the n-torus. Mathematical Methods in the Applied Sciences, pages n/a-n/a.
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Paula Cerejeiras, Uwe Kähler & Vladislav V. Kravchenko. (2008) On a factorization of the Schrödinger and Klein–Gordon operators. Mathematical Methods in the Applied Sciences 31:14, pages 1722-1738.
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P. Cerejeiras, N. Faustino & N. Vieira. (2008) Numerical Clifford analysis for nonlinear Schrödinger problem. Numerical Methods for Partial Differential Equations 24:4, pages 1181-1202.
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Kira V Khmelnytskaya & Vladislav V Kravchenko. (2008) On a complex differential Riccati equation. Journal of Physics A: Mathematical and Theoretical 41:8, pages 085205.
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