List of Publications of Cornelia Schiebold

 

 

 

 

  1. Die klassische Charaktertheorie der Mathieugruppen.

Diplomarbeit, Mainz 1993.

 

  1. Funktionalanalytische Methoden bei der Behandlung von Solitonengleichungen.

Thesis, Jena 1996.

 

  1. An operator-theoretic approach to the Toda lattice equation.

Phys. D 122 (1998), 37—61.

 

  1. (with B. Carl) Nonlinear equations in soliton physics and operator ideals.

 Nonlinearity 12 (1999), 333—364.

 

  1. (with B. Carl) Ein direkter Ansatz zur Untersuchung von Solitonengleichungen.

Jahresber. Deutsch. Math.-Verein. 102 (2000), no. 3, 102—148.

A translation of this article is available here.

 

  1. (with B. Carl) A direct approach to the study of soliton equations.

Jenaer Schriften zur Mathematik und Informatik Math/Inf/18/01. Translation of [5].

 

7.    Solitons of the sine-Gordon equation coming in clusters.

Rev. Mat. Complut. 15 (2002), 265—325.

 

  1. On negatons of the Toda lattice.

J. Nonlinear Math. Phys. 10 (2003), 181—193.

 

  1. Integrable Systems and Operator Equations.

Habilitationsschrift, Jena 2004.

 

  1. From the non-abelian to the scalar two-dimensional Toda lattice.

Glasgow Math. J. 47 (2005), 177—189.

 

  1. A non-abelian Nonlinear Schrödinger equation and countable superposition.     

J. Gen. Lie Theory Appl 2 (2008), 245—250.

 

  1. Explicit solution formulas for the matrix-KP.

Glasgow Math. J. 51 (2009), 147—155.

 

  1. (with S. Carillo)

Noncommutative Korteweg-de Vries and modified Korteweg-de Vries hierarchies via recursion methods.

J. Math. Phys. 50 (2009), 073510 (pp.14).

 

  1. Noncommutative AKNS systems and multisoliton solutions to the matrix sine-Gordon equation.

Discrete and Continuous Dynamical Systems (2009), 678—690.

 

  1. (with S. Carillo)

A non-commutative operator-hierarchy of Burgers equations and Bäcklund transformations.

 In: “Applied and Industrial Mathematics in Italy III: Selected Contributions from the 9th SIMAI Conference, Rome”, 

Ed: E. De Bernardis, R. Spigler, and V. Valente,

Series on Advances in Mathematics for Applied Sciences, Vol. 82, World Scientific 2009, p. 175—185.

 

  1. Cauchy-type determinants and integrable systems.

Linear Algebra Appl. 433 (2010), 447—475.

 

  1. (with S. Carillo)

Recursion techniques and explicit solutions of integrable noncommutative hierarchies.

In: “Proceedings WASOM 2009. 15th International Conference on Waves and Stability in Continuous Media”,

Ed: A. Greco, S. Rionero, and T. Ruggeri,

World Scientic 2010, p.74—80.

 

  1. The noncommutative AKNS systems: Projection to matrix systems, countable superposition, and soliton-like solutions.

Special issue on Current Trends in Integrability and Nonlinear Phenomena,

J. Phys. A 43 (2010), 434030 (pp.18).

 

  1. (with S. Carillo)

Matrix KdV and mKdV hierarchies: Noncommutative soliton solutions and explicit formulae.

J. Math. Phys. 52 (2011), 053507 (pp. 21).

 

  1. Structural properties of the noncommutative KdV recursion operator.

J. Math. Phys. 52 (2011), 113504 (pp. 16).

 

  1. (with S. Carillo)

On the recursion operator for the noncommutative Burgers hierarchy.

J. Nonlin. Math. Phys. (2012) 19, 1250003 (pp. 11).