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Nonlocal symmetries and formal symmetries for evolution equations
We consider the nonlocal symmetries associated with the universal Abelian coverings over (1+1)-dimensional evolution systems with constraints. We show that the directional derivatives of these symmetries are formal symm...
BA - Obecná matematika
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
On nonlocal symmetries for the Krichever-Novikov equation
We construct new infinite hierarchies of nonlocal symmetries and cosymmetries for the Krichever-Novikov equation using the inverse of the fourth-order recursion operator of the latter....
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A remark on nonlocal symmetries for the Calogero--Degasperis--Ibragimov--Shabat equation
We consider the Calogero-Degasperis-Ibragimov-Shabat (CDIS) equation and find the complete set of its nonlocal symmetries depending on the local variables algebra of these symmetries turns out to be a central extension of t...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Applications of solvable structures to the nonlocal symmetry-reduction of ODEs
An application of solvable structures to the reduction of ODEs with a lack of local symmetries is given. Solvable structures considered here are all defined in a nonlocal extension, or covering space, of a given ODE. Examples of the...
BA - Obecná matematika
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
of nonlocal conservation laws. In the infinite differential coverings associated to these series, we describe the Lie algebras of the corresponding nonlocal symmetries. Finally, we construct a recursion operator and explor...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Coverings over lax integrable equations and their nonlocal symmetries
We consider the three-dimensional rdDym equation u (ty) = u (x) u (xy) -u (y) u (xx). Using the known Lax representation with a nonremovable parameter and two hierarchies of nonlocal conservation laws associated with it, we describe the alge...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Infinite hierarchies of nonlocal symmetries of the Chen-Kontsevich-Schwarz type for the oriented associativity equations
We construct infinite hierarchies of nonlocal higher symmetries for the oriented associativity equations using solutions of associated vector and scalar spectral problems. The symmetries in question generalize those found b...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On symmetries of the Gibbons-Tsarev equation
We study the Gibbons-Tsarev equation z(yy) + z(x)z(xy) - z(y)z(xx) + 1 = 0 and, using the known Lax pair, we construct infinite series of conservation laws and the algebra of nonlocal symmetries in the covering associated with these...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On Recursion Operators for Full-Fledged Nonlocal Symmetries of the Reduced Quasi-classical Self-dual Yang-Mills Equation
nonlocal symmetries and apply it to the reduced quasi-classical self-dual Yang–Mills vector functions of the nonlocal symmetries simply by matrix multiplication on the set of all recursion operators for full-fledg...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The four-dimensional Martinez Alonso-Shabat equation: Reductions and nonlocal symmetries
We consider the four-dimensional integrable Martinez Alonso-Shabat equation and list three integrable three-dimensional reductions thereof. We also present a four-dimensional integrable modified Martinez Alonso-Shabat equation together with its Lax p...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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