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Schiebold, Cornelia

Co-Author Distance
Author ID: schiebold.cornelia Recent zbMATH articles by "Schiebold, Cornelia"
Published as: Schiebold, Cornelia; Schiebold, C.
Documents Indexed: 30 Publications since 1998
Co-Authors: 7 Co-Authors with 18 Joint Publications
127 Co-Co-Authors
all top 5

Co-Authors

12 single-authored
14 Carillo, Sandra
5 Lo Schiavo, Mauro
2 Carl, Bernd
1 Biondini, Gino
1 Li, Sitai
1 Nilson, Tomas
1 Porten, Egmont
all top 5

Serials

5 Journal of Mathematical Physics
3 Journal of Nonlinear Mathematical Physics
2 Nonlinearity
2 Glasgow Mathematical Journal
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematics and Computers in Simulation
1 Physica D
1 Linear Algebra and its Applications
1 Discrete and Continuous Dynamical Systems
1 Revista Matemática Complutense
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Generalized Lie Theory and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Evolution Equations and Control Theory
1 Open Communications in Nonlinear Mathematical Physics
all top 5

Fields

28 Partial differential equations (35-XX)
23 Dynamical systems and ergodic theory (37-XX)
10 Operator theory (47-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Computer science (68-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

27 Publications have been cited 263 times in 90 Documents Cited by ▼ Year ▼
Nonlinear equations in soliton physics and operator ideals. Zbl 0940.35175
Carl, B.; Schiebold, C.
26
1999
Noncommutative Korteweg-de Vries and modified Korteweg-de Vries hierarchies via recursion methods. Zbl 1256.37036
Carillo, Sandra; Schiebold, Cornelia
24
2009
Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation. Zbl 1368.35251
Schiebold, Cornelia
21
2017
Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: noncommutative soliton solutions. Zbl 1317.35220
Carillo, Sandra; Schiebold, Cornelia
20
2011
A direct method for studying soliton equations. (Ein direkter Ansatz zur Untersuchung von Solitonengleichungen.) Zbl 0970.35121
Carl, B.; Schiebold, C.
14
2000
Noncommutative AKNS systems and multisoliton solutions to the matrix sine-Gordon equation. Zbl 1187.35197
Schiebold, Cornelia
14
2009
An operator-theoretic approach to the Toda lattice equation. Zbl 0977.37042
Schiebold, Cornelia
13
1998
Cauchy-type determinants and integrable systems. Zbl 1195.15006
Schiebold, Cornelia
13
2010
A novel noncommutative KdV-type equation, its recursion operator, and solitons. Zbl 1392.35256
Carillo, Sandra; Lo Schiavo, Mauro; Porten, Egmont; Schiebold, Cornelia
12
2018
Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart. Zbl 1386.37070
Carillo, Sandra; Lo Schiavo, Mauro; Schiebold, Cornelia
11
2016
On the degenerate soliton solutions of the focusing nonlinear Schrödinger equation. Zbl 1365.35159
Li, Sitai; Biondini, Gino; Schiebold, Cornelia
11
2017
Solitons of the sine-Gordon equation coming in clusters. Zbl 1059.35128
Schiebold, C.
11
2002
The noncommutative AKNS system: projection to matrix systems, countable superposition and soliton-like solutions. Zbl 1233.37048
Schiebold, Cornelia
10
2010
Explicit solution formulas for the matrix-KP. Zbl 1215.37046
Schiebold, Cornelia
9
2009
On the recursion operator for the noncommutative Burgers hierarchy. Zbl 1279.37043
Carillo, Sandra; Schiebold, Cornelia
9
2012
Structural properties of the noncommutative KdV recursion operator. Zbl 1272.35170
Schiebold, C.
8
2011
A non-commutative operator-hierarchy of Burgers equations and Bäcklund transformations. Zbl 1203.35210
Carillo, Sandra; Schiebold, Cornelia
6
2010
Recursion operators admitted by non-abelian Burgers equations: some remarks. Zbl 1540.35337
Carillo, Sandra; Lo Schiavo, Mauro; Schiebold, Cornelia
6
2018
On negatons of the Toda lattice. Zbl 1362.37135
Schiebold, Cornelia
4
2003
From the non-abelian to the scalar two-dimensional Toda lattice. Zbl 1076.37068
Schiebold, Cornelia
4
2005
Matrix solitons solutions of the modified Korteweg-de Vries equation. Zbl 1483.35182
Carillo, Sandra; Lo Schiavo, Mauro; Schiebold, Cornelia
4
2020
Abelian versus non-abelian Bäcklund charts: some remarks. Zbl 1426.58010
Carillo, Sandra; Schiavo, Mauro Lo; Schiebold, Cornelia
3
2019
A non-abelian nonlinear Schrödinger equation and countable superposition of solitons. Zbl 1162.35452
Schiebold, Cornelia
3
2008
Recursion techniques and explicit solutions of integrable noncommutative hierarchies. Zbl 1244.37040
Carillo, S.; Schiebold, C.
2
2010
On the 2-soliton asymptotics for the \(d\times d\)-matrix Korteweg-de Vries equation. Zbl 1493.37085
Schiebold, Cornelia
2
2021
Construction of soliton solutions of the matrix modified Korteweg-de Vries equation. Zbl 07912200
Carillo, Sandra; Schiebold, Cornelia
2
2022
Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour. Zbl 1436.37080
Nilson, Tomas; Schiebold, Cornelia
1
2020
Construction of soliton solutions of the matrix modified Korteweg-de Vries equation. Zbl 07912200
Carillo, Sandra; Schiebold, Cornelia
2
2022
On the 2-soliton asymptotics for the \(d\times d\)-matrix Korteweg-de Vries equation. Zbl 1493.37085
Schiebold, Cornelia
2
2021
Matrix solitons solutions of the modified Korteweg-de Vries equation. Zbl 1483.35182
Carillo, Sandra; Lo Schiavo, Mauro; Schiebold, Cornelia
4
2020
Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour. Zbl 1436.37080
Nilson, Tomas; Schiebold, Cornelia
1
2020
Abelian versus non-abelian Bäcklund charts: some remarks. Zbl 1426.58010
Carillo, Sandra; Schiavo, Mauro Lo; Schiebold, Cornelia
3
2019
A novel noncommutative KdV-type equation, its recursion operator, and solitons. Zbl 1392.35256
Carillo, Sandra; Lo Schiavo, Mauro; Porten, Egmont; Schiebold, Cornelia
12
2018
Recursion operators admitted by non-abelian Burgers equations: some remarks. Zbl 1540.35337
Carillo, Sandra; Lo Schiavo, Mauro; Schiebold, Cornelia
6
2018
Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation. Zbl 1368.35251
Schiebold, Cornelia
21
2017
On the degenerate soliton solutions of the focusing nonlinear Schrödinger equation. Zbl 1365.35159
Li, Sitai; Biondini, Gino; Schiebold, Cornelia
11
2017
Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart. Zbl 1386.37070
Carillo, Sandra; Lo Schiavo, Mauro; Schiebold, Cornelia
11
2016
On the recursion operator for the noncommutative Burgers hierarchy. Zbl 1279.37043
Carillo, Sandra; Schiebold, Cornelia
9
2012
Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: noncommutative soliton solutions. Zbl 1317.35220
Carillo, Sandra; Schiebold, Cornelia
20
2011
Structural properties of the noncommutative KdV recursion operator. Zbl 1272.35170
Schiebold, C.
8
2011
Cauchy-type determinants and integrable systems. Zbl 1195.15006
Schiebold, Cornelia
13
2010
The noncommutative AKNS system: projection to matrix systems, countable superposition and soliton-like solutions. Zbl 1233.37048
Schiebold, Cornelia
10
2010
A non-commutative operator-hierarchy of Burgers equations and Bäcklund transformations. Zbl 1203.35210
Carillo, Sandra; Schiebold, Cornelia
6
2010
Recursion techniques and explicit solutions of integrable noncommutative hierarchies. Zbl 1244.37040
Carillo, S.; Schiebold, C.
2
2010
Noncommutative Korteweg-de Vries and modified Korteweg-de Vries hierarchies via recursion methods. Zbl 1256.37036
Carillo, Sandra; Schiebold, Cornelia
24
2009
Noncommutative AKNS systems and multisoliton solutions to the matrix sine-Gordon equation. Zbl 1187.35197
Schiebold, Cornelia
14
2009
Explicit solution formulas for the matrix-KP. Zbl 1215.37046
Schiebold, Cornelia
9
2009
A non-abelian nonlinear Schrödinger equation and countable superposition of solitons. Zbl 1162.35452
Schiebold, Cornelia
3
2008
From the non-abelian to the scalar two-dimensional Toda lattice. Zbl 1076.37068
Schiebold, Cornelia
4
2005
On negatons of the Toda lattice. Zbl 1362.37135
Schiebold, Cornelia
4
2003
Solitons of the sine-Gordon equation coming in clusters. Zbl 1059.35128
Schiebold, C.
11
2002
A direct method for studying soliton equations. (Ein direkter Ansatz zur Untersuchung von Solitonengleichungen.) Zbl 0970.35121
Carl, B.; Schiebold, C.
14
2000
Nonlinear equations in soliton physics and operator ideals. Zbl 0940.35175
Carl, B.; Schiebold, C.
26
1999
An operator-theoretic approach to the Toda lattice equation. Zbl 0977.37042
Schiebold, Cornelia
13
1998
all cited Publications top 5 cited Publications
all top 5

Cited by 130 Authors

16 Schiebold, Cornelia
15 Carillo, Sandra
7 Demontis, Francesco
7 Van der Mee, Cornelis Victor Maria
5 Lo Schiavo, Mauro
5 Zhao, Songlin
3 Biondini, Gino
3 Kasman, Alex
2 Bilman, Deniz
2 Buckingham, Robert J.
2 Feng, Wei
2 Garimella, Ramesh V.
2 Gekhtman, Mikhaèl I.
2 Gordoa, Pilar Ruiz
2 Hrynkiv, Volodymyr
2 Li, Min
2 Malham, Simon J. A.
2 Müller-Hoissen, Folkert
2 Oregero, Jeffrey
2 Ortenzi, Giovanni
2 Pickering, Andrew
2 Sourour, Ahmed Ramzi
2 Tempesta, Piergiulio
2 Tian, Bo
2 Tian, He-Yuan
2 Tovbis, Alexander
2 Xu, Tao
2 Zhang, Dajun
2 Zhang, Xuefeng
2 Zullo, Federico
1 Adler, Vsevolod Eduardovich
1 Aktosun, Tuncay
1 Ariznabarreta, Gerardo
1 Blohm, Henning
1 Cen, Julia
1 Chen, Junchao
1 Chen, Meisen
1 Chen, Su-Su
1 Chvartatskyi, Oleksandr
1 Cobb, John
1 Dimakis, Aristophanes
1 Fan, Engui
1 Fring, Andreas
1 Fritzsche, Bernd
1 Fu, Wei
1 Gadzhimuradov, Telman A.
1 García-Ardila, Juan Carlos
1 Geng, Xianguo
1 Gilson, Claire R.
1 Guo, Qi
1 Hamanaka, Masashi
1 Hanif, Y.
1 Hassani, Hossein
1 He, Jingsong
1 Huang, Senzhong
1 Huang, Shan-Chi
1 Huang, Yehui
1 Jin, Yongyang
1 Kirstein, Bernd
1 Kuijlaars, Arno B. J.
1 Lakshmanan, Muthusamy
1 Levi, Decio
1 Li, Nianhua
1 Li, Sitai
1 Ling, Liming
1 Liu, Huan
1 Liu, Nan
1 Luo, Xudan
1 Mahmood, Irfan
1 Mañas, Manuel
1 Marcellán Español, Francisco
1 Naraghirad, Eskandar
1 Nijhoff, Frank W.
1 Nilson, Tomas
1 Nimmo, Jonathan J. C.
1 Okabe, Hirotaka
1 Porten, Egmont
1 Prinari, Barbara
1 Restuccia, Álvaro
1 Riaz, H. Wajahat Ahmed
1 Rui, Weiguo
1 Sakhnovich, Alexander L.
1 Saleem, Umair
1 Schief, Wolfgang Karl
1 Senthilvelan, Murugaian
1 Serna, Albert
1 Shen, Jing
1 Sommacal, Matteo
1 Sparkman, Monique
1 Stalin, Seenimuthu
1 Sun, Yan
1 Sun, Yingying
1 Tao, Xiangxing
1 Tariq, Kalim U.
1 Tian, Kai
1 Tian, Shoufu
1 Tufail, R. Nadir
1 Veiro, Jean Pierre
1 Vekslerchik, Vadym Yevgenovych
1 Vitale, Federica
...and 30 more Authors
all top 5

Cited in 40 Serials

9 Journal of Mathematical Physics
7 Theoretical and Mathematical Physics
6 Journal of Nonlinear Mathematical Physics
6 Journal of Physics A: Mathematical and Theoretical
5 Studies in Applied Mathematics
5 Physica D
4 Journal of Geometry and Physics
3 Journal of Mathematical Analysis and Applications
3 Journal of Nonlinear Science
2 Nonlinearity
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 Ricerche di Matematica
2 Linear Algebra and its Applications
2 Chaos
2 Communications in Nonlinear Science and Numerical Simulation
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Modern Physics Letters A
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Journal of Computational and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Nonlinear Dynamics
1 Discrete Dynamics in Nature and Society
1 Czechoslovak Journal of Physics
1 Advances in Difference Equations
1 Communications in Theoretical Physics
1 Advances in Applied Mathematics and Mechanics
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Evolution Equations and Control Theory
1 International Journal of Applied and Computational Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Open Communications in Nonlinear Mathematical Physics
all top 5

Cited in 21 Fields

74 Partial differential equations (35-XX)
64 Dynamical systems and ergodic theory (37-XX)
9 Difference and functional equations (39-XX)
7 Quantum theory (81-XX)
6 Ordinary differential equations (34-XX)
5 Operator theory (47-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Integral equations (45-XX)
2 Special functions (33-XX)
2 Optics, electromagnetic theory (78-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year