Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Symmetry, Invariants, and their Applications in honor of Peter J. Olver's 70th Birthday

The Guest Editors for this special issue are

Alex Bihlo (Memorial University of Newfoundland, Canada)
Mark Fels (Utah State University, USA)
Irina Kogan (North Carolina State University, USA)
Robert Milson (Dalhousie University, Canada)
Francis Valiquette (Monmouth University, USA)

This special issue complements the conference Symmetry, Invariants, and their Applications: A Celebration of Peter J. Olver's 70th Birthday held at Dalhousie University, August 3–5, 2022. We welcome contributions related to Peter Olver's research expertise.

Topics include:

  • application of symmetry group methods to differential equations, difference equations, and other types of equations;
  • invariant theory, differential invariants, and generalizations;
  • moving frames and their applications;
  • equivalence problems;
  • invariant geometric flows and integrable systems;
  • application of Lie group methods to geometric numerical integration and computer vision.

There is no limit to the length of an article. Deadline for paper submission is December 31, 2023.

How to Submit an Article to the Issue.

All articles will go through the standard peer reviewing procedure of SIGMA.

Papers in this Issue:

The Cobb-Douglas Production Function and the Old Bowley's Law
Roman G. Smirnov and Kunpeng Wang
SIGMA 20 (2024), 045, 20 pages   [ abs   pdf ]
mKdV-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere
Annalisa Calini, Thomas Ivey and Emilio Musso
SIGMA 20 (2024), 027, 30 pages   [ abs   pdf ]
Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
Filipe Kelmer and Keti Tenenblat
SIGMA 20 (2024), 015, 27 pages   [ abs   pdf ]
Lepage Equivalents and the Variational Bicomplex
David Saunders
SIGMA 20 (2024), 013, 18 pages   [ abs   pdf ]
$\mathfrak{gl}(3)$ Polynomial Integrable System: Different Faces of the 3-Body/${\mathcal A}_2$ Elliptic Calogero Model
Alexander V. Turbiner, Juan Carlos Lopez Vieyra and Miguel A. Guadarrama-Ayala
SIGMA 20 (2024), 012, 23 pages   [ abs   pdf ]
Moving Frames: Difference and Differential-Difference Lagrangians
Lewis C. White and Peter E. Hydon
SIGMA 20 (2024), 006, 29 pages   [ abs   pdf ]
Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable
Peter Rock
SIGMA 20 (2024), 002, 18 pages   [ abs   pdf ]
On the Total CR Twist of Transversal Curves in the 3-Sphere
Emilio Musso and Lorenzo Nicolodi
SIGMA 19 (2023), 101, 36 pages   [ abs   pdf ]
Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane
Decio Levi and Miguel A. Rodríguez
SIGMA 19 (2023), 084,   7 pages   [ abs   pdf ]
On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class
Johnson Allen Kessy and Dennis The
SIGMA 19 (2023), 058, 29 pages   [ abs   pdf ]
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
Primitivo Acosta-Humánez, Moulay Barkatou, Raquel Sánchez-Cauce and Jacques-Arthur Weil
SIGMA 19 (2023), 016, 29 pages   [ abs   pdf ]

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