Special Issue “Symmetries of Differential Equations: Frames, Invariants and Applications”

The Guest Editors for this special issue are

Niky Kamran (McGill University, Canada)
Gloria Mari Beffa (University of Wisconsin, USA)
Willard Miller (University of Minnesota, USA)
Guillermo R. Sapiro (Duke University, USA)

The special issue will be in honor of the 60th Birthday of Peter Olver, and is in conjunction with the conference “Symmetries of Differential Equations: Frames, Invariants and Applications”.

• symmetries of differential equations and variational problems;
• moving frames for Lie groups and Lie pseudo-groups;
• invariant theory, differential invariants, and generalizations;
• solitons, integrable systems, geometric flows;
• calculus of variations and the variational bicomplex;
• Hamiltonian systems and Poisson structures;
• applications to image processing, fluid mechanics, and elasticity;
• Cartan theory of differential forms and equivalence problems.

Papers are welcome for this issue both from the conference participants and from other authors whose work fits into the topics.

How to Submit an Article to the Issue.

Both original research articles and review papers will be considered (not published or considered for publication elsewhere).

There is no limit to the length of an article. Deadline for paper submission is September 30, 2012.

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

Papers in this Issue:

Relative Critical Points

Debra Lewis
SIGMA 9 (2013), 038, 28 pages   [ abs   pdf ]

On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces

Jeongoo Cheh
SIGMA 9 (2013), 036, 21 pages   [ abs   pdf ]

The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces

João Paulo dos Santos and Keti Tenenblat
SIGMA 9 (2013), 033, 27 pages   [ abs   pdf ]

The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis

Mireille Boutin and Shanshan Huang
SIGMA 9 (2013), 031, 25 pages   [ abs   pdf ]

Solving Local Equivalence Problems with the Equivariant Moving Frame Method

Francis Valiquette
SIGMA 9 (2013), 029, 43 pages   [ abs   pdf ]

G-Strands and Peakon Collisions on Diff(R)

Darryl D. Holm and Rossen I. Ivanov
SIGMA 9 (2013), 027, 14 pages   [ abs   pdf ]

A Quasi-Lie Schemes Approach to Second-Order Gambier Equations

José F. Cariñena, Partha Guha and Javier de Lucas
SIGMA 9 (2013), 026, 23 pages   [ abs   pdf ]

Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type

Peter J. Vassiliou
SIGMA 9 (2013), 024, 21 pages   [ abs   pdf ]

Object-Image Correspondence for Algebraic Curves under Projections

Joseph M. Burdis, Irina A. Kogan and Hoon Hong
SIGMA 9 (2013), 023, 31 pages   [ abs   pdf ]

Integrable Flows for Starlike Curves in Centroaffine Space

Annalisa Calini, Thomas Ivey and Gloria Marí Beffa
SIGMA 9 (2013), 022, 21 pages   [ abs   pdf ]

The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas

Ian M. Anderson and Mark E. Fels
SIGMA 9 (2013), 017, 22 pages   [ abs   pdf ]

Courant Algebroids. A Short History

Yvette Kosmann-Schwarzbach
SIGMA 9 (2013), 014,  8 pages   [ abs   pdf ]

Specialized Orthonormal Frames and Embedding

Frank B. Estabrook
SIGMA 9 (2013), 012,  5 pages   [ abs   pdf ]

Invertible Darboux Transformations

Ekaterina Shemyakova
SIGMA 9 (2013), 002, 10 pages   [ abs   pdf ]

Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries

Changzheng Qu, Junfeng Song and Ruoxia Yao
SIGMA 9 (2013), 001, 19 pages   [ abs   pdf ]

Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations

Concepción Muriel and Juan Luis Romero
SIGMA 8 (2012), 106, 21 pages   [ abs   pdf ]

The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,u_x,u_y)

Mariya N. Kuznetsova, Aslı Pekcan and Anatoliy V. Zhiber
SIGMA 8 (2012), 090, 37 pages   [ abs   pdf ]

Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables

Philip Broadbridge, Claudia M. Chanu and Willard Miller Jr.
SIGMA 8 (2012), 089, 31 pages   [ abs   pdf ]

Sylvester versus Gundelfinger

Andries E. Brouwer and Mihaela Popoviciu
SIGMA 8 (2012), 075,  7 pages   [ abs   pdf ]

Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy

Emilio Musso
SIGMA 8 (2012), 030, 20 pages   [ abs   pdf ]

Lagrange Anchor and Characteristic Symmetries of Free Massless Fields

Dmitry S. Kaparulin, Simon L. Lyakhovich and Alexey A. Sharapov
SIGMA 8 (2012), 021, 18 pages   [ abs   pdf ]