Found 250 Documents (Results 1–100)
Geometrical correspondence of the Miura transformation induced from affine Kac-Moody algebras. (English) Zbl 07836559
Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow. (English) Zbl 1530.37097
The Toda flow on Hessenberg elements of real, split simple Lie algebras. (English) Zbl 1526.37072
Reviewer: William J. Satzer Jr. (St. Paul)
Integrable magnetic geodesic flows on 2-surfaces. (English) Zbl 1514.37073
Reviewer: William J. Satzer Jr. (St. Paul)
Darboux transformations for the \(\hat{A}_{2n}^{(2)}\)-KdV hierarchy. (English) Zbl 1517.37073
Reviewer: Ti-Jun Xiao (Fudan)
Nonisospectral extension of Schur flow with determinant solution and orthogonal polynomials on the unit circle. (English) Zbl 1516.37102
Reviewer: Dimitar A. Kolev (Sofia)
Applications of Nijenhuis geometry. IV: Multicomponent KdV and Camassa-Holm equations. (English) Zbl 1517.37067
The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra. (English) Zbl 1492.35275
Multi-mode solitons in a long-short range traffic lattice model with time delay. (English) Zbl 1517.35089
Kinetics of phase separation in \(\mathrm{Fe}\)-\(\mathrm{Cr}\)-X (X \(=\) Mo, Cu) ternary alloys – a dynamical wave study. (English) Zbl 1490.82023
Deformed \(\sigma\)-models, Ricci flow and Toda field theories. (English) Zbl 1487.37087
Reviewer: Ahmed Lesfari (El Jadida)
Energy transfer by internal-gravity wavy structures in the upper atmosphere with the shear flow. (English) Zbl 1475.35270
Space of isospectral periodic tridiagonal matrices. (English) Zbl 1477.57030
Reviewer: Michael J. Falk (Flagstaff)
Lie-Poisson methods for isospectral flows. (English) Zbl 1450.37073
Reviewer: Bülent Karasözen (Ankara)
Elastic null curve flows, nonlinear \(C\)-integrable systems, and geometric realization of Cole-Hopf transformations. (English) Zbl 1436.53079
Reviewer: Ahmed Lesfari (El Jadida)
A combined short pulse-mKDV equation and its exact solutions by two-dimensional invariant subspaces. (English) Zbl 1441.37079
The flow equations of the modified discrete KP hierarchy. (Chinese. English summary) Zbl 1438.35375
Hasimoto variables, generalized vortex filament equations, Heisenberg models and Schrödinger maps arising from group-invariant NLS systems. (English) Zbl 1428.35478
Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. (English. French summary) Zbl 1417.37235
Invariant measures for the periodic derivative nonlinear Schrödinger equation. (English) Zbl 1420.35354
Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows. (English) Zbl 1420.35294
Generalized Toda flows. (English) Zbl 1419.37057
Reviewer: Willard Miller jun. (Minneapolis)
\(n\)-dimension central affine curve flows. (English) Zbl 1441.53078
Reviewer: Vasyl Gorkaviy (Kharkov)
DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems. (English) Zbl 1406.37055
Nonlinearizations of Darboux transformations of Kaup-Newell equation based on the restricted Kaup-Newell flow. (Chinese. English summary) Zbl 1499.37113
Parametrization of internal-gravity waves in the ionosphere with nonuniform shear flow. (English) Zbl 1409.35169
Heisenberg ferromagnetism as an evolution of a spherical indicatrix: localized solutions and elliptic dispersionless reduction. (English) Zbl 1392.35283
Star Mean Curvature Flow on 3 manifolds and its Bäcklund Transformations. arXiv:1801.10347
Preprint, arXiv:1801.10347 [math.DG] (2018).
Hamiltonian structures and integrability of Frobenius algebra-valued \((n,m)^{\text{th}}\) KdV hierarchy. (English) Zbl 1420.37095
Commuting flows and infinite-dimensional tori: sine-Gordon. (English) Zbl 1386.35372
Reviewer: Ahmed Lesfari (El Jadida)
Rogue waves in baroclinic flows. (English. Russian original) Zbl 1377.37103
Theor. Math. Phys. 191, No. 2, 725-737 (2017); translation from Teor. Mat. Fiz. 191, No. 2, 291-303 (2017).
Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\). (English) Zbl 1378.35300
Reviewer: Alessandro Selvitella (Ottawa)
Geometry of matrix decompositions seen through optimal transport and information geometry. (English) Zbl 1368.15010
On the Liouville integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\). (English) Zbl 1383.37044
Reviewer: Daniel Beltiţă (Bucureşti)
Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach. (English) Zbl 1364.37140
Generalized negative flows in hierarchies of integrable evolution equations. (English) Zbl 1420.37055
MSC:
37K10
Integrable systems from inelastic curve flows in 2- and 3- dimensional Minkowski space. (English) Zbl 1420.37102
On recursion operator of the \(q\)-KP hierarchy. (English) Zbl 1351.37248
MSC:
37K10
On local description of two-dimensional geodesic flows with a polynomial first integral. (English) Zbl 1346.53071
Reviewer: Mircea Crâşmăreanu (Iaşi)
A two-Lane lattice hydrodynamic model considering multiple information of preceding cars. (English) Zbl 1348.90190
A new lattice hydrodynamic model for bidirectional pedestrian flow with the consideration of pedestrian’s anticipation effect. (English) Zbl 1348.35228
A new lattice hydrodynamic model for bidirectional Pedestrian flow with the consideration of lateral discomfort. (English) Zbl 1348.37110
Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on unbounded domains. (English) Zbl 1330.35379
Reviewer: Santosh Bhattarai (Buffalo)
Dispersive geometric curve flows. (English) Zbl 1325.37050
Cao, Huai-Dong (ed.) et al., Regularity and evolution of nonlinear equations. Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. Somerville, MA: International Press (ISBN 978-1-57146-303-6/hbk). Surveys in Differential Geometry 19, 179-229 (2015).
Reviewer: Ivan C. Sterling (St. Mary’s City)
Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions. (English) Zbl 1323.37038
Reviewer: Leonid Golinskii (Kharkov)
Integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\). (Intégrabilité du flot périodique de Kostant-Toda sur des boucles de matrices de niveau k.) (English. Abridged French version) Zbl 1312.37042
Nonautonomous analysis of steady Korteweg-de Vries waves under nonlocalised forcing. (English) Zbl 1349.35328
Hamiltonian structure for null curve evolution. (English) Zbl 1322.53069
Reviewer: Oscar J. Garay (Bilbao)
Integrable dispersive chains and energy dependent Schrödinger operator. (English) Zbl 1304.35470
Reviewer: Svetlin Georgiev (Rousse)
On a new generalization of dispersionless Kadomtsev-Petviashvili hierarchy and its reductions. (English) Zbl 1524.35562
The recursion operators of the BKP hierarchy and the CKP hierarchy. (Chinese. English summary) Zbl 1488.37052
MSC:
37K10
Exact solutions to the Navier-Stokes equation for an incompressible flow from the interpretation of the Schrödinger wave function. (English) Zbl 1288.35372
Solution of the finite complex Toda lattice by the method of inverse spectral problem. (English) Zbl 1285.65044
Reviewer: Manuel Calvo (Zaragoza)
Multi-component integrable systems and invariant curve flows in certain geometries. (English) Zbl 1384.37085
Two kinds of new integrable decompositions of the Gerdjikov-Ivanov equation. (English) Zbl 1274.35366
Unique continuation for discrete nonlinear wave equations. (English) Zbl 1246.35118
Reviewer: Bilender P. Allahverdiev (Isparta)
Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry. (English) Zbl 1247.37064
Reviewer: Ahmed Lesfari (El Jadida)
A few expanding integrable models, Hamiltonian structures and constrained flows. (English) Zbl 1264.37036
Matrix inverse eigenvalue problems. (English) Zbl 1248.15008
Gladwell, Graham M. L. (ed.) et al., Dynamical inverse problems. Theory and application. Papers based on the presentations at the course, Udine, Italy, May 25–29, 2009. Wien: Springer (ISBN 978-3-7091-0695-2/hbk). CISM Courses and Lectures 529, 1-28 (2011).
A higher dimensional integrable equation induced by motion of curves in four-dimensional centro-affine geometry. (Chinese. English summary) Zbl 1249.37042
Integrable deformations of binary constrained soliton flows. (Chinese. English translation) Zbl 1240.37072
Chin. Ann. Math., Ser. A 32, No. 2, 161-172 (2011); translation in Chin. J. Contemp. Math. 32, No. 2, 137-148 (2011).
Geometric KdV flows, motions of curves and the third-order system of the AKNS hierarchy. (English) Zbl 1228.37048
Congruence curves of the Goldstein-Petrich flows. (English) Zbl 1226.53067
Loubeau, E. (ed.) et al., Harmonic maps and differential geometry. A harmonic map fest in honour of John C. Wood’s 60th birthday, Cagliari, Italy, September 7–10, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4987-3/pbk). Contemporary Mathematics 542, 99-113 (2011).
Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. (English) Zbl 1251.81062
Integrable Hamiltonian hierarchies associated with the equation of heat conduction. (English) Zbl 1200.37066
Reviewer: Fuhua Ling (Milpitas)
A remark on the global existence of a third order dispersive flow into locally Hermitian symmetric spaces. (English) Zbl 1193.35158
A finite-dimensional completely integrable system associated with Boussinesq hierarchy. (English) Zbl 1382.37069
Quaternionic soliton equations from Hamiltonian curve flows in \(\mathbb{HP}^n \). (English) Zbl 1208.37039
Reviewer: Paul Popescu (Craiova)
A new extended discrete KP hierarchy and a generalized dressing method. (English) Zbl 1209.37082
Reviewer: Radu Precup (Cluj-Napoca)
MSC:
37K10
Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems. (English) Zbl 1220.37052
Reviewer: Luen-Chau Li (University Park)
From integrable to superintegrable. (English) Zbl 1168.37021
Reviewer: Rakib Efendiev (Baku)
Curve flows in Lagrange-Finsler geometry, bi-Hamiltonian structures and solitons. (English) Zbl 1153.37409
Nonisospectral flows on semiinfinite unitary block Jacobi matrices. (English) Zbl 1164.37020
Ukr. Mat. Zh. 60, No. 4, 521-544 (2008) and Ukr. Math. J. 60, No. 4, 598-622 (2008).
Reviewer: Anatoly N. Kochubei (Kyïv)
Geodesic flow in extended Bott-Virasoro group and generalized two-component Peakon type dual systems. (English) Zbl 1157.35483
On skew-symmetric and general deformations of Lax pseudodifferential operators. (English. Russian original) Zbl 1149.37323
J. Math. Sci., New York 151, No. 4, 3139-3150 (2008); translation from Fundam. Prikl. Mat. 12, No. 7, 101-116 (2006).
MSC:
37K10
Hamiltonian curve flows in Lie groups \(G\subset U(N)\) and vector NLS, mKdV, sine-Gordon soliton equations. (English) Zbl 1136.37035
Eastwood, Michael (ed.) et al., Symmetries and overdetermined systems of partial differential equations. Proceedings of the IMA summer program, Minneapolis, MN, USA, July 17–August 4, 2006. New York, NY: Springer (ISBN 978-0-387-73830-7/hbk). The IMA Volumes in Mathematics and its Applications 144, 223-250 (2008).
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