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Higher symmetries of cotangent coverings for Lax-integrable multi-dimensional partial differential equations and Lagrangian deformations
We present examples of Lax-integrable multi-dimensional systems of partial differential equations with higher local symmetries. We also consider Lagrangian deformations of these equations and construct variational ...
BA - Obecná matematika
- 2014 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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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-Sha...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Recursion Operators for Multidimensional Integrable PDEs
operator of the equation under study based on the Lax pair for the latter.We present a novel construction of recursion operators for integrable second-order multidimensional PDEs admitting isospectral scalar Lax p...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws
for the Przanowski equation, an integrable second-order PDE locally equivalent to anti-self-dual vacuum Einstein equations with nonzero cosmological constant. The hierarchy in question is constructed using a nonisospectral...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Recursion operators for dispersionless integrable systems in any dimension
We present a new approach to construction of recursion operators for multidimensional integrable systems which have a Lax-type representation in terms of a pair of the first heavenly equation, the modified heavenly equa...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Integrability properties of some equations obtained by symmetry reductions
of four Lax-integrable (i.e., possessing a zero-curvature representation with a non-removable parameter) 3-dimensional equations. Here we study the behavior of the integrability features of the initial equatio...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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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...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A simple construction of recursion operators for multidimensional dispersionless integrable systems
We present a simple novel construction of recursion operators for integrable multidimensional dispersionless systems that admit a Lax pair whose operators are linear for the general heavenly equation, which describes a clas...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems
We present a complete description of 2-dimensional equations that arise as symmetry reductions of four 3- dimensional Lax-integrable equations: (1) the universal hierarchy equation u(yy) = u(z)u(xy)- u(y)u...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrodinger equations
In this paper, the two-dimensional generalized nonlinear Schrodinger equations are introduced with the Lax pair. The existence of the Lax pair defines integrability for the partial differential equation, s...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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