Cornelia Schiebold

Professor|Professor

Tjänstetitel: Professor
Telefon arbete: +46 (0)10-1428462
E-postadress: cornelia.schiebold@miun.se
Rumsnummer: Ej Angivet
Ort: Sundsvall
- Anställd inom ämnet:
- Matematik
- Avdelning:
- Institutionen för ingenjörsvetenskap, matematik och ämnesdidaktik (IMD)

Publikationer

Artiklar i tidskrifter
Böcker
Doktorsavhandlingar
Kapitel i böcker, del av antologier
Konferensbidrag
Licentiatavhandlingar
Rapporter

Artiklar i tidskrifter

Carillo, S. & Schiebold, C. (2024). Soliton equations : admitted solutions and invariances via Bäcklund transformations. Open Communications in Nonlinear Mathematical Physics, vol. Special Issue in Memory of...

Nilson, T. & Schiebold, C. (2020). Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour. Journal of Nonlinear Mathematical Physics, vol. 27: 1, ss. 57-94.

Carillo, S. , Schiavo, M. L. & Schiebold, C. (2019). Abelian versus non-Abelian Bäcklund charts : Some remarks. Evolution Equations and Control Theory, vol. 8: 1, ss. 43-55.

Carillo, S. , Lo Schiavo, M. , Porten, E. & Schiebold, C. (2018). A novel noncommutative KdV-type equation, its recursion operator, and solitons. Journal of Mathematical Physics, vol. 59: 4

Carillo, S. , Lo Schiavo, M. & Schiebold, C. (2018). Recursion operators admitted by non-Abelian Burgers equations : some remarks. Mathematics and Computers in Simulation, vol. 147: SI, ss. 40-51.

Schiebold, C. (2017). Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation. Nonlinearity, vol. 30: 7, ss. 2930-2981.

Li, S. , Biondini, G. & Schiebold, C. (2017). On the degenerate soliton solutions of the focusing nonlinear Schrödinger equation. Journal of Mathematical Physics, vol. 58: 3

Carillo, S. , Lo Schiavo, M. & Schiebold, C. (2016). Bäcklund transformations and non-abelian nonlinear evolution equations : A novel bäcklund chart. Symmetry, Integrability and Geometry, vol. 12

Carillo, S. & Schiebold, C. (2012). On the recursion operator for the noncommutative Burgers hierarchy. Journal of Nonlinear Mathematical Physics, vol. 19: 1, ss. Art. no. 1250003

Carillo, S. & Schiebold, C. (2011). Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies : Noncommutative soliton solutions. Journal of Mathematical Physics, vol. 52: 5, ss. Art. no. 053507

Schiebold, C. (2011). Structural properties of the noncommutative KdV recursion operator. Journal of Mathematical Physics, vol. 52: 11, ss. Art. no. 113504

Schiebold, C. (2010). Cauchy-type determinants and integrable systems. Linear Algebra and its Applications, vol. 433: 2, ss. 447-475.

Schiebold, C. (2010). The noncommutative AKNS system: projection to matrix systems, countable superposition and soliton-like solutions. Journal of Physics A, vol. 43: 43, ss. 434030

Carillo, S. & Schiebold, C. (2009). A non-commutative operator-hierarchy of Burgers equations and Bäcklund transformations. Series on Advances in Mathematics for Applied Sciences, vol. 82

Schiebold, C. (2009). Explicit solution formulas for the matrix-KP. Glasgow Mathematical Journal, vol. 51A, ss. 147-155.

Schiebold, C. (2009). Noncommutative AKNS systems and multisoliton solutions to the matrix sine-Gordon equation. Discrete and Continuous Dynamical Systems, : Suppl, ss. 678-690.

Carillo, S. & Schiebold, C. (2009). Noncommutative Korteweg-de Vries and modified Korteweg-de Vries hierarchies via recursion methods. Journal of Mathematical Physics, vol. 50: 7

Schiebold, C. (2008). A non-abelian Nonlinear Schrödinger equation and countable superposition. Journal of Generalized Lie Theory and Applications, vol. 2: 3, ss. 245-250.

Schiebold, C. (2005). From the non-abelian to the scalar two-dimensional Toda lattice. Glasgow Mathematical Journal, vol. 47: A, ss. 177-189.

Schiebold, C. (2003). On negatons of the Toda lattice. Journal of Nonlinear Mathematical Physics, vol. 10: suppl.2, ss. 181-193.

Schiebold, C. (2002). Solitons of the sine-Gordon equation coming in clusters. Revista Matemática Complutense, vol. 15: 1, ss. 265-325.

Carl, B. & Schiebold, C. (2000). Ein direkter Ansatz zur Untersuchung von Solitonengleichungen. Jahresbericht der Deutschen Mathematiker-Vereinigung (Teubner), vol. 102: 3, ss. 102-148.

Carl, B. & Schiebold, C. (1999). Nonlinear equations in soliton physics and operator ideals. Nonlinearity, vol. 12: 2, ss. 333-364.

Schiebold, C. (1998). An operator-theoretic approach to the Toda lattice equation. Physica D, vol. 122: 1-4, ss. 37-61.

Böcker

Schiebold, C. (2004). Integrable Systems and Operator Equations : Habilitationsschrift. Jena : Universität Jena (Habilitationsschrift ).

Doktorsavhandlingar

Schiebold, C. (2004). Integrable Systems and Operator Equations. Diss. Jena : Friedrich-Schiller-Univ, 2004 (Habilitationsschrift, Friedrich-Schiller-Universität Jena : )

Schiebold, C. (1997). Funktionalanalytische Methoden bei der Behandlung von Solitonengleichungen. Diss. Jena : Friedrich-Schiller-Universität, 1997 (Dissertationsschrift : )

Kapitel i böcker, del av antologier

Porten, E. & Schiebold, C. (2024). From the operator KP equation to scalar and matrix-valued solutions. I Contemporary Mathematics. American Mathematical Society (AMS). S. 197-233.

Carillo, S. & Schiebold, C. (2022). Bäcklund Transformations : A Tool to Study Abelian and Non-Abelian Nonlinear Evolution Equations. I Formal and Analytic Solutions of Differential Equations. World Scientific. S. 145-161.

Schiebold, C. (2018). Matrix solutions for equations of the AKNS system. I Nonlinear systems and their remarkable mathematical structures. Vol. 1. Boca Raton, FL : CRC Press. S. 257-294.

Konferensbidrag

Carillo, S. & Schiebold, C. (2022). Construction of Soliton Solutions of the Matrix Modified Korteweg–de Vries Equation. I Advances in Nonlinear Dynamics.. S. 481--491.

Schiebold, C. (2021). On The 2-Soliton Asymptotics For The D X D-Matrix Korteweg-De Vries Equation. I Proceedings of the conference Contemporary Mathematics in Kielce 2020, February 24-27 2021.. S. 259--274.

Carillo, S. , Lo Schiavo, M. & Schiebold, C. (2020). Matrix solitons solutions of the modified Korteweg-de Vries equation.. I Nonlinear Dynamics of Structures, Systems and Devices : Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019).. S. 75--83.

Carillo, S. & Schiebold, C. (2010). Recursion techniques and explicit solutions of integrable noncommutative hierarchies. I Proceedings WASCOM 2009.. S. 74--80.