Special Issue "Completely Integrable Equations: Algebraic Aspects and Applications"
Deadline for manuscript submissions: 30 April 2024 | Viewed by 3245
Interests: completely integrable systems; Bäcklund and auto-bäcklund transformations; Hamiltonian structures; Painlevé equations and hierarchies; discrete and differential-delay Painlevé equations and hierarchies
Interests: integrable systems; Bäcklund transformations; Hamiltonian systems; Painlevé equations and Painlevé hierarchies; scattering problems; discrete and differential-delay systems; lie symmetries; solitons
The theory of completely integrable systems that has developed over the last half-century or so is extremely wide-ranging, taking in algebraic, geometric and analytic approaches. In addition to the inherent beauty of much of this theory, with its myriad connections to many other areas of mathematics, physics and other sciences, much of this interest is motivated by the many applications of well-known completely integrable equations.
It is this two-fold interest that we seek to reflect in this Special Issue. On the one hand, we seek to focus on algebraic aspects of integrable equations, in particular on Hamiltonian structures, recursion operators, and generalized symmetries and related properties of integrable PDEs and lattices. We would like to invite papers that explore new techniques and examples in relation to these algebraic aspects. In addition, we are interested in contributions that study the properties of integrable systems arising in applications, as well as such applications themselves.
Dr. Andrew Pickering
Dr. Pilar R. Gordoa
Manuscript Submission Information
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- completely integrable evolution equations: PDEs and lattices
- hamiltonian structures
- recursion operators and generalized symmetries
- applications of integrable PDEs and lattices