Boris A. Kupershmidt
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Mathematics
Why Is Boris A. Kupershmidt Influential?
(Suggest an Edit or Addition)Boris A. Kupershmidt's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Mathematics of dispersive water waves (1985) (416)
- A super Korteweg-de Vries equation: An integrable system (1984) (340)
- Modifying Lax equations and the second Hamiltonian structure (1980) (271)
- Discrete lax equations and differential-difference calculus (1985) (260)
- Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity (1983) (172)
- What a Classical r-Matrix Really Is (1999) (159)
- Geometry of jet bundles and the structure of lagrangian and hamiltonian formalisms (1980) (122)
- KP or mKP (2000) (114)
- KdV6: An integrable system (2007) (102)
- Equations of long waves with a free surface. II. Hamiltonian structure and higher equations (1978) (95)
- Reflection Symmetries of q-Bernoulli Polynomials (2005) (86)
- Long-wave equation with free boundaries. I. Conservation laws and solution (1977) (74)
- Integrable and superintegrable systems (1990) (71)
- THE STRUCTURES OF HAMILTONIAN MECHANICS (1977) (66)
- Super Korteweg-de Vries equations associated to super extensions of the Virasoro algebra (1985) (58)
- Quantum Korteweg-de Vries Like Equations and Perturbed Conformal Field Theories (1989) (57)
- Non-Abelian phase spaces (1994) (56)
- Elements of Superintegrable Systems (1987) (55)
- Poisson structures of superfluids (1982) (55)
- Canonical maps between poisson brackets in eulerian and Lagrangian descriptions of continuum mechanics (1983) (47)
- The Hamiltonian structure of classical chromohydrodynamics (1983) (46)
- The analogy between spin glasses and Yang–Mills fluids (1988) (44)
- The quantum group GLh(2) (1992) (41)
- The quasiclassical limit of the modified KP hierarchy (1990) (39)
- Noncanonical Hamiltonian formulation of ideal magnetohydrodynamics (1983) (38)
- Gauge-invariant poisson brackets for chromohydrodynamics (1982) (37)
- The Variational Principles of Dynamics (1992) (36)
- On the Nature of the Virasoro Algebra (1999) (36)
- Conservation laws and symmetries of generalized sine-Gordon equations (1981) (34)
- On the nature of the Gardner transformation (1981) (33)
- Odd and even Poisson brackets in dynamical systems (1985) (33)
- A coupled Korteweg-de Vries equation with dispersion (1985) (32)
- Dark Equations (2001) (31)
- Relativistic fluid dynamics as a Hamiltonian system (1984) (31)
- q-Probability: I. Basic Discrete Distributions (2000) (29)
- Quantizations and integrable systems (1990) (28)
- POISSON STRUCTURES OF SUPERCONDUCTORS (1983) (25)
- Infinite-dimensional analogs of the minimal coupling principle and of the Poincaré lemma for differential two-forms (1992) (25)
- Bosons and fermions interacting integrably with the Korteweg-de Vries field (1984) (24)
- Hydrodynamical poisson brackets and local lie algebras (1987) (20)
- Canonical property of the Miura maps between the MKP and KP hierarchies, continuous and discrete (1995) (20)
- On a new way of writing the Navier-Stokes equation. The Hamiltonian formalism (2016) (19)
- Canonical maps between semidirect products with applications to elasticity and superfluids (1983) (19)
- Lyapunov stability of relativistic fluids and plasmas (1986) (19)
- Hamiltonian theory of relativistic magnetohydrodynamics with anisotropic pressure (1986) (17)
- q-Newton Binomial: From Euler To Gauss (2000) (17)
- Multipressure regularization for multiphase flow (1984) (17)
- Symplectic Geometries on $T^*\widetilde{G}$, Hamiltonian Group Actions and Integrable Systems (1992) (16)
- YANG-MILLS MAGNETOHYDRODYNAMICS: NONRELATIVISTIC THEORY (1984) (16)
- Elements of Superintegrable Systems: Basic Techniques and Results (1987) (15)
- Elements of Superintegrable Systems: Basic Techniques and Results (1987) (15)
- On algebraic models of dynamical systems (1982) (15)
- Superintegrable systems. (1984) (15)
- Super long waves (1986) (15)
- On A Group Of Automorphisms Of The Noncommutative Burgers Hierarchy (2005) (15)
- On the integrability of modified Lax equations (1989) (15)
- A linear scattering problem for the finite depth equation (1980) (13)
- Hamiltonian differencing of fluid dynamics (1985) (13)
- Time discretizations of lattice integrable systems (1992) (12)
- Classification of quantum group structures on the group GL(2) (1994) (12)
- ... And Free Lunch for All. A Review of Bruce C Berndt's Ramanujan's Notebooks, Parts I - V. (2000) (12)
- Lie algebras and Korteweg-de Vries equations (1987) (12)
- Quantum mechanics as an integrable system (1985) (12)
- Relativistic chromohydrodynamics and Yang-Mills Vlasov plasma (1984) (12)
- Extended Equations of Long Waves (2006) (10)
- Quantum Differential Forms (1998) (10)
- On dual spaces of differential Lie algebras (1983) (9)
- Super loop groups, Hamiltonian actions and super Virasoro algebras (1990) (9)
- Equations Of Long Waves With A Free Surface III. The Multidimensional Case (2005) (8)
- A multipressure regularization for multiphase flow (1986) (8)
- Book Review by B A Kupershmidt (2000) (8)
- A multicomponent water wave equation (1985) (8)
- Left-Symmetric Algebras in Hydrodynamics (2006) (7)
- Phase Spaces of Algebras (2010) (7)
- MODIFIED KORTEWEG-DE VRIES EQUATIONS ON EUCLIDEAN LIE ALGEBRAS (1989) (7)
- RELATIVISTIC ANALOGS OF BASIC INTEGRABLE SYSTEMS (1990) (7)
- All quantum group structures on the supergroup GL(1 mod 1) (1993) (6)
- Hamiltonian formulation of ferromagnetic hydrodynamics (1988) (6)
- Quantum Heisenberg group (1993) (6)
- Poisson relations between minors and their consequences (1994) (6)
- Oscillator representations of the 2D conformal algebra and superalgebra (1985) (6)
- Noncommutative Integrable Systems of Hydrodynamic Type (2006) (6)
- FREE RIGID BODY (1992) (5)
- q-Analogs of Classical 6-Periodicity: From Euler to Chebyshev (2003) (5)
- Linearized structures of lagrangian, hamiltonian, and quasi-hamiltonian systems (1986) (5)
- Lagrangian formalism in variational calculus (1976) (5)
- GEOMETRIC HAMILTONIAN FORMS FOR THE KADOMTSEV-PETVIASHVILI AND ZABOLOTSKAYA-KHOKHLOV EQUATIONS (1994) (5)
- Hamiltonian structure and Lyapunov stability of a hyperbolic system of two-phase flow equations including surface tension (1986) (5)
- Equations Of Long Waves With A Free Surface IV. The Case of Constant Shear (2006) (5)
- Involutivity of Conservation Laws for a Fluid of Finite Depth and Benjamin-Ono Equations (1981) (5)
- Twisted Diff S1-action on loop groups and representations of the virasoro algebra (1990) (5)
- Classification of all Poisson-Lie structures on an infinite-dimensional jet group (1995) (5)
- Supersymmetric fluid in a free one-dimensional motion (1984) (5)
- Trace formulae for the quantum group GLq(2) (1992) (4)
- Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0 (1997) (4)
- Long wave equations and metrizable Lie algebras (1988) (4)
- An algebraic model of graded calculus of variations (1987) (4)
- Nonautonomous form of the theory of Lax equations (1982) (4)
- Hydrodynamics and electrohydrodynamics of adiabatic multiphase fluids and plasmas (1986) (4)
- A q-analogue of the dual space to the Lie algebras gl(2) and sl(2) (1993) (4)
- Is a bi-Hamiltonian system necessarily integrable? (1987) (4)
- Mathematical aspects of quantum fluids. I. Generalized two‐cycles of 4He type (1985) (4)
- Super analog of conformal spin (1985) (3)
- Planar incompressible Yang-Mills magnetohydrodynamics (1984) (3)
- Hydrodynamical chains of Pavlov class (2006) (3)
- Classical Superintegrable Systems (1987) (3)
- Integrable Systems: The structures of Hamiltonian mechanics (Volume 32, 1977) (1981) (3)
- Lyapunov stability conditions for relativistic multifluid plasma (1986) (3)
- Remarks on Random Evolutions in Hamiltonian Representation (1998) (3)
- A deformation of the general zero‐curvature equations associated to simple Lie algebras (1983) (3)
- ? → Neveu-Schwarz-Ramond superalgebra → Virasoro algebra (1985) (3)
- Hamiltonian formalism for reversible non-equilibrium fluids with heat flow (1990) (3)
- Hamiltonian formalism for discrete integrable systems of KP and MKP types (2000) (3)
- Singular symmetries of integrable curves and surfaces (1982) (3)
- GL2-orbit of the Korteweg-de Vries equation (1991) (3)
- Coadjoint Poisson Actions of Poisson-Lie Groups (1999) (2)
- Korteweg‐de Vries surfaces and Bäcklund curves (1982) (2)
- Hamiltonian Formalism in Quantum Mechanics (1998) (2)
- Factorization of quasiclassical integrable systems (1990) (2)
- Quasirelativistic Analogs of Lax Equations (1993) (2)
- Extensions of 1-Dimensional Polytropic Gas Dynamics (2006) (2)
- Mathematical aspects of quantum fluids. III. Interior Clebsch representations and transformations of symplectic two‐cocycles for 4He (1986) (2)
- DISCRETIZATION OF IDEAL FLUID DYNAMICS IN THE EULERIAN REPRESENTATION (1986) (2)
- Invariance of the stationary manifold of a conserved density (1987) (2)
- Cylindrical reduction of continuous dynamical systems (1984) (2)
- Remarks on Robin's and Niocolas Inequalities (2009) (1)
- Soliton Equations and Hamiltonian Systems (L. A. Dickey) (1994) (1)
- Connections between free-surface systems of hydrodynamical type and generalized kinetic equations (1990) (1)
- Cotangent space analogs of the Korteweg-de Vries and related equations (1993) (1)
- Great powers of -calculus (1999) (1)
- QUASICLASSICAL LIMIT OF QUANTUM MATRIX GROUPS (1991) (1)
- And free lunch for all... (2000) (1)
- Mathematics of Quantum Numbers: A Collection of 274 Research Papers on Quantum Numbers (2010) (1)
- Remarks on Quantization of Classical r-Matrices (1999) (1)
- A super space-time form of the hydrodynamics of free relativistic fluids (1985) (1)
- Hydrodynamical reductions of the lattice KP hierarchy (1992) (1)
- Cylindrically invariant flows in relativistic fluid dynamics (1987) (1)
- SUGAWARA-TYPE CONSTRUCTIONS FOR THE CLASSICAL WN ALGEBRA (1993) (1)
- Cylindrically invariant solutions of ideal compressible magnetohydrodynamics (1985) (1)
- Symplectic Geometries on T (1995) (1)
- Quantum subgroups of the quantum group GL(2) (1994) (1)
- Quasi-Hamiltonian mechanics associated to representations of Lie algebras (1987) (1)
- Canonical lagrangian for relativistic adiabatic fluid dynamics (1987) (1)
- Mathematical aspects of quantum fluids. II. Nonrotating 4He and Clebsch representations of symplectic two‐cocycles (1986) (1)
- A supersymmetric integrable system for arbitrary N (1990) (1)
- KP, then MKP (2000) (1)
- Variational Principles of the First Kind (1992) (0)
- The idea of Lax representations and its discrete-time analog (2000) (0)
- Kinetic representation of the KP hierarchy (1989) (0)
- Remarks On A Nicolas Inequality (2008) (0)
- On the motion equations of a spinning fluid (1989) (0)
- Form-invariance upon relativisation of the Hamiltonian structures of fluids is not universal (1991) (0)
- A quantum analog of the group of motions on the plane and of its coadjoint representation (1993) (0)
- TYPICAL PHYSICAL SYSTEMS (1992) (0)
- Kinetic representation of discrete integrable systems (1989) (0)
- Lie-Algebraic Identities (1987) (0)
- The toda lattice, the relativistic toda lattice, and related systems (2000) (0)
- The MKP hierarchy (2000) (0)
- Variational Principles (abelian Case) (1992) (0)
- INTRODUCTION: A Dissection of Compressible Fluid Dynamics (1992) (0)
- Clebsch Representations (abelian Case) (1992) (0)
- A quantum cubic representation for 16 (2009) (0)
- On the kinetic equations of a system of one-dimensional hard rods (1988) (0)
- Form Artin relation to Quantum Yang – Baxter equation to Classical Yang – Baxter equation (2008) (0)
- Re )-Examining the Past q-Newton Binomial : From Euler To Gauss (2000) (0)
- The quasirelativistic KP hierarchy (2000) (0)
- LIOUVILLE'S PRINCIPLE (2007) (0)
- The structures of generalized noncommutative Toda lattices (1985) (0)
- Between KP and MKP (2000) (0)
- A Hidden Group Structure for the Integrals of the Benney System (2008) (0)
- Noncommutative Lagrangian formalism (2000) (0)
- Bi-SuperHamiltonian Systems (1987) (0)
- NONNEGATIVITY OF MASS AND ENTROPY IN CONTINUOUS DYNAMICS (1989) (0)
- Undressing of odd pseudodifferential operators (1987) (0)
- A supersymmetric Benney hierarchy: a semiintegrable system (1990) (0)
- Systems of the MKP type (2000) (0)
- Graduate Council: Starting Fall 2007, only electronic form for Dissertations and Master's Thesis will be accepted for university records. (2007) (0)
- Averaging in dynamical and hamiltonian systems (1987) (0)
- Variational Calculus with Anticommuting Variables (1987) (0)
- The Prototypical Dynamical Systems and Their Hamiltonian Properties (1992) (0)
- On a sequence of continued fractions of Ramanujan and theirq-analogs (1996) (0)
- Relativistic toda lattice and related systems (2000) (0)
- SUPERVARIATIONAL PRINCIPLES (ABELIAN CASE) (1992) (0)
- The quantum group ThGL(n) (1992) (0)
- A canonical representation for the orbital angular momentum in anistropic superfluid 3He - A (1985) (0)
- Families of generalized sine-Gordon fields (1982) (0)
- A canonical representation for the orbital angular momentum in anistropic superfluid 3He - A (1985) (0)
- Relative Symmetries of Differential Equations (1984) (0)
- Quantum phase space of the group of affine transformations of the line (1994) (0)
- Variational Principles of the Second Kind (1992) (0)
- Noncommutative Hamiltonian formalism (2000) (0)
- SuperHamiltonian Formalism and Infinite-Dimensional Stable Lie Superalgebras (1987) (0)
- On skew-symmetric and general deformations of Lax pseudodifferential operators (2008) (0)
- Semidirect Sum Lie Algebras, Generalized Symplectic Two-Cocycles Hamiltonian Maps Between Semidirect Sums (1992) (0)
- Differential Calculus on Quantum Matrix Lie Groups (2016) (0)
- The noncommutative Hamiltonian formalism over differential-difference rings (2000) (0)
- Odd variables in classical mechanics and in Yang-Mills fluid dynamics (1985) (0)
- The KP hierarchy (2000) (0)
- Per unit mass versus per unit volume descriptions of continuous hamiltonian systems (1987) (0)
- Lie Algebras, Generalized Two-Cocycles Affine Hamiltonian Operators (1992) (0)
- The second construction of integrals of the KP hierarchy (2000) (0)
- Variational Derivatives of Conservation Laws and the SuperHamiltonian Structure of Classical Superintegrable Systems (1987) (0)
- MKP = M+KP (2000) (0)
- Relativistic Compressible Fluid Dynamics (1992) (0)
- The hydrodynamical representation (2000) (0)
- Residue Calculus in Modules of Differential Forms over Superalgebras of Pseudo-Differential Operators (1987) (0)
- The Gibbons forms (2000) (0)
- Se p 20 07 KdV 6 : An Integrable System (2008) (0)
- The noncommutative differential-difference calculus (2000) (0)
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