Found 249 Documents (Results 1–100)
On the coadjoint Virasoro action. (English) Zbl 1530.53081
Reviewer: Mee Seong Im (Annapolis)
Billiards and integrable systems. (English. Russian original) Zbl 1541.37029
Russ. Math. Surv. 78, No. 5, 881-954 (2023); translation from Usp. Mat. Nauk 78, No. 5, 93-176 (2023).
Equivalent quantum systems. (English) Zbl 1537.81112
Darboux transformation and soliton solutions of the nonlocal Heisenberg spin system with self-consistent potential. (English) Zbl 1535.37089
Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow. (English) Zbl 1530.37097
On absolute equivalence and linearization I. (English) Zbl 1519.58002
Reviewer: Savin Treanţă (Bucureşti)
Dependency of the positive and negative long-time behaviors of flows on surfaces. (English) Zbl 1528.37037
Reviewer: Héctor Barge (Madrid)
Evolutionary force billiards. (English. Russian original) Zbl 1526.37070
Izv. Math. 86, No. 5, 943-979 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 5, 116-156 (2022).
Constructive implementation of semiclassical asymptotic formulas in a neighborhood of a generic caustic cusp. (English) Zbl 1514.53119
MSC:
53D12
Topology of integrable billiard in an ellipse in the Minkowski plane with the Hooke potential. (English. Russian original) Zbl 1504.37075
Mosc. Univ. Math. Bull. 77, No. 1, 7-19 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 1, 8-18 (2022).
Partially hyperbolic diffeomorphisms and Lagrangian contact structures. (English) Zbl 1505.37045
Reviewer: Mihail Banaru (Smolensk)
Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space. (English. Russian original) Zbl 1497.37064
Sb. Math. 213, No. 2, 129-160 (2022); translation from Mat. Sb. 213, No. 2, 3-36 (2022).
On the equivalence of Eulerian smoothed particle hydrodynamics, total Lagrangian smoothed particle hydrodynamics and molecular dynamics simulations for solids. (English) Zbl 1507.76160
MSC:
76M28
Rank 2 Bäcklund transformations of hyperbolic Monge-Ampère systems. (English) Zbl 1497.37089
Reviewer: Igor G. Nikolaev (Urbana)
Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit. (English) Zbl 1509.35283
Topological classification of non-compact 3-atoms with a circle action. (Russian. English summary) Zbl 1512.37067
Topological type of isoenergy surfaces of billiard books. (English. Russian original) Zbl 1495.37051
Sb. Math. 212, No. 12, 1660-1674 (2021); translation from Mat. Sb. 212, No. 12, 1660-1674 (2021).
Local and nonlocal solitons in a coupled real system of Landau-Lifshitz equations. (English) Zbl 1490.35447
Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses. (English. Russian original) Zbl 1483.37076
Mosc. Univ. Math. Bull. 76, No. 4, 177-180 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 4, 48-51 (2021).
Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems. (English. Russian original) Zbl 1485.37056
Sb. Math. 212, No. 8, 1122-1179 (2021); translation from Mat. Sb. 212, No. 8, 89-150 (2021).
Reviewer: William J. Satzer Jr. (St. Paul)
Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases. (English. Russian original) Zbl 1482.37060
Dokl. Math. 103, No. 1, 1-4 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5-8 (2021).
Billiards with changing geometry and their connection with the implementation of the Zhukovsky and Kovalevskaya cases. (English) Zbl 1482.37055
Topological analysis of a billiard bounded by confocal quadrics in a potential field. (English. Russian original) Zbl 1468.37028
Sb. Math. 212, No. 2, 211-233 (2021); translation from Mat. Sb. 212, No. 2, 81-105 (2021).
Stäckel equivalence of non-degenerate superintegrable systems, and invariant quadrics. (English) Zbl 1460.14077
Reviewer: Ahmed Lesfari (El Jadida)
A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. (English) Zbl 1459.14023
Reviewer: Yan Dan (Changsha)
Lie symmetry analysis for a generalized Conde-Gordoa-Pickering equation via equivalence transformations. (English) Zbl 07832390
Projectively equivalent 2-dimensional superintegrable systems with projective symmetries. (English) Zbl 1514.37078
Criteria for the height of an atom. (English. Russian original) Zbl 1468.37021
Mosc. Univ. Math. Bull. 75, No. 3, 102-116 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 12-24 (2020).
Integrable systems of double ramification type. (English) Zbl 1464.37071
Reviewer: Ahmed Lesfari (El Jadida)
Topological classification of integrable geodesic billiards on quadrics in three-dimensional Euclidean space. (English. Russian original) Zbl 1460.37058
Sb. Math. 211, No. 11, 1503-1538 (2020); translation from Mat. Sb. 211, No. 11, 3-40 (2020).
Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds. (English. Russian original) Zbl 1456.37062
Sb. Math. 211, No. 8, 1127-1158 (2020); translation from Mat. Sb. 211, No. 8, 68-101 (2020).
Reviewer: William J. Satzer Jr. (St. Paul)
Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations. (English) Zbl 1450.37061
Integrable billiard systems realize toric foliations on Lens spaces and the 3-torus. (English. Russian original) Zbl 1443.37043
Sb. Math. 211, No. 2, 201-225 (2020); translation from Mat. Sb. 211, No. 2, 46-73 (2020).
Billiards bounded by arcs of confocal quadrics on the Minkowski plane. (English. Russian original) Zbl 1443.37042
Sb. Math. 211, No. 1, 1-28 (2020); translation from Mat. Sb. 211, No. 1, 3-31 (2020).
Geometry of Bäcklund transformations. I: Generality. (English) Zbl 1437.37090
Reviewer: Ivan C. Sterling (St. Mary’s City)
Automorphic equivalence within gapped phases in the bulk. (English) Zbl 1432.81071
Reviewer: Eric Stachura (Marietta)
Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results. (English) Zbl 1474.37058
Notes on integrable motion of two interacting curves and two-layer generalized Heisenberg ferromagnet equations. (English) Zbl 1445.37049
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 49-56 (2019).
Topological obstacles to the realizability of integrable Hamiltonian systems by billiards. (English. Russian original) Zbl 1439.37056
Dokl. Math. 100, No. 2, 463-466 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 5, 471-475 (2019).
Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards. (English. Russian original) Zbl 1436.37068
Izv. Math. 83, No. 6, 1137-1173 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 6, 63-103 (2019).
A charge-conservative finite element method for inductionless MHD equations. II: A robust solver. (English) Zbl 1447.65085
Reviewer: Kai Schneider (Marseille)
A charge-conservative finite element method for inductionless MHD equations. I: Convergence. (English) Zbl 1447.65084
Reviewer: Kai Schneider (Marseille)
Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form \(H = H_1(x)+H_2(y)\). (English) Zbl 1412.37059
Reviewer: Cristian Lăzureanu (Timisoara)
On the equivalence between different canonical forms of \(F(R)\) theory of gravity. (English) Zbl 1430.83087
Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations. (English) Zbl 1428.35444
Lorentz’s 1895 transformations, Einstein’s equivalence principle and the perihelion shift of Mercury. (English) Zbl 1421.83005
Equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds. (English) Zbl 1424.53037
The phase portrait of the Hamiltonian system associated to a Pinchuk map. (English) Zbl 1419.37053
Reviewer: Alexander Grin (Grodno)
Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems. (English. Russian original) Zbl 1408.37098
Sb. Math. 209, No. 12, 1690-1727 (2018); translation from Mat. Sb. 209, No. 12, 17-56 (2018).
Tropical integrable systems and Young tableaux: shape equivalence and Littlewood-Richardson correspondence. (English) Zbl 1397.37082
On a class of coupled Hamiltonian operators and their integrable hierarchies with two potentials. (English) Zbl 1397.35004
Radiation from charged particles due to explicit symmetry breaking in a gravitational field. (English) Zbl 1395.78025
Reviewer: Alex B. Gaina (Chisinau)
Invariants for the Lagrangian equivalence problem. (English) Zbl 1390.58003
Reviewer: Miroslaw Doupovec (Brno)
MSC:
58A20
Maxwell-Bloch equations without spectral broadening: gauge equivalence, transformation operators and matrix Riemann-Hilbert problems. (English) Zbl 1392.35200
Group classification of charged particle motion in stationary electromagnetic fields. (English) Zbl 1383.78016
Reviewer: Eric Stachura (Haverford)
Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation. (English) Zbl 1380.37132
Reviewer: Ahmed Lesfari (El Jadida)
Rational reductions of the 2D-Toda hierarchy and mirror symmetry. (English) Zbl 1368.81139
Reviewer: Sergiy Koshkin (Houston)
Variational approach to gravity field theories. From Newton to Einstein and beyond. (English) Zbl 1369.83001
Undergraduate Lecture Notes in Physics. Cham: Springer (ISBN 978-3-319-51209-9/pbk; 978-3-319-51211-2/ebook). xii, 361 p. (2017).
Reviewer: Hans-Jürgen Schmidt (Potsdam)
Residual diffeomorphisms and symplectic soft hairs: the need to refine strict statement of equivalence principle. (English) Zbl 1355.83016
Einsteins equations for spin 2 mass 0 from Noethers converse Hilbertian assertion. (English) Zbl 1349.83011
Nonlocal nonlinear Schrödinger equation and its discrete version: soliton solutions and gauge equivalence. (English) Zbl 1352.35163
Reviewer: Xue Bo (Zhengzhou)
Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials. (English) Zbl 1376.82108
Non-linear energy conservation theorem in the framework of special relativity. (English) Zbl 1355.70025
Enhanced group classification of gardner equations with time-dependent coefficients. (English) Zbl 1329.37068
MSC:
37K10
Rational Blanchfield forms, S-equivalence, and null LP-surgeries. (Formes de Blanchfield rationnelles, S-équivalence, et chirurgies LP nulles.) (English. French summary) Zbl 1325.57006
Reviewer: Daniel Moskovich (Beer-Sheva)
Theory of relativity. (English) Zbl 1321.83001
Hackensack, NJ: World Scientific (ISBN 978-981-4641-89-0/hbk). xii, 213 p. (2015).
Reviewer: Hans-Jürgen Schmidt (Potsdam)
Bifurcation of plane-to-plane map-germs of corank 2. (English) Zbl 1323.58030
Reviewer: Majid Gazor (Isfahan)
Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems. (English) Zbl 1309.70011
The physical mirror equivalence for the local \(\mathbb P^2\). (English) Zbl 1346.14107
Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale)
Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries. (English) Zbl 1510.35280
Regular reduction of controlled Hamiltonian system with symplectic structure and symmetry. (English) Zbl 1393.70034
Differential invariants of a class of Lagrangian systems with two degrees of freedom. (English) Zbl 1377.34044
Extended gravity. (English) Zbl 1301.83026
Stability of circular orbits in Schwarzschild spacetime. (English) Zbl 1293.70061
Reviewer: Andrea Bacciotti (Torino)
Intrinsic symmetries and equivalence group transformations of differential-difference equations. (Chinese. English summary) Zbl 1289.37040
MSC:
37K05
37K30
Two remarks on \(PQ^{\epsilon}\)-projectivity of Riemannian metrics. (English) Zbl 1261.53016
Reviewer: Miroslav Doupovec (Brno)
Homogeneous isotropic turbulence: geometry and the admitted group transformation group. (Russian. English summary) Zbl 1421.76094
Quantum incompressibility of a falling Rydberg atom, and a gravitationally-induced charge separation effect in superconducting systems. (English) Zbl 1242.81063
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