Hermann Flaschka

  • 1595 Citations
  • 15 h-Index
1971 …2014
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Research Output 1971 2014

  • 1595 Citations
  • 15 h-Index
  • 29 Article
2014
4 Citations (Scopus)

Defining a trend for time series using the intrinsic time-scale decomposition

Restrepo, J. M., Venkataramani, S. C., Comeau, D. & Flaschka, H., 2014, In : New Journal of Physics. 16, 085004.

Research output: Contribution to journalArticle

tendencies
trends
decomposition
histograms
methodology
2005
6 Citations (Scopus)

Bending flows for sums of rank one matrices

Flaschka, H. & Millson, J., Feb 2005, In : Canadian Journal of Mathematics. 57, 1, p. 114-158 45 p.

Research output: Contribution to journalArticle

Unitary group
Quotient
Action-angle Variables
Integrable Hamiltonian System
Representation Theory
1993
9 Citations (Scopus)

A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus

Bloch, A. M., Flaschka, H. & Ratiu, T., Dec 1993, In : Inventiones Mathematicae. 113, 1, p. 511-529 19 p.

Research output: Contribution to journalArticle

Diffeomorphism Group
Ring or annulus
Convexity
Diffeomorphisms
Orbit
1991
22 Citations (Scopus)

Torus orbits in G/P

Flaschka, H. & Haine, L., 1991, In : Pacific Journal of Mathematics. 149, 2, p. 251-292 42 p.

Research output: Contribution to journalArticle

Torus
Orbit
Divisor
Symplectic Geometry
Genericity
19 Citations (Scopus)

Variétés de drapeaux et réseaux de Toda

Flaschka, H. & Haine, L., Dec 1991, In : Mathematische Zeitschrift. 208, 1, p. 545-556 12 p.

Research output: Contribution to journalArticle

1990
29 Citations (Scopus)

A convexity theorem for isospectral manifolds of jacobi matrices in a compact lie algebra

Bloch, A. M., Flaschka, H. & Ratiu, T., 1990, In : Duke Mathematical Journal. 61, 1, p. 41-65 25 p.

Research output: Contribution to journalArticle

Jacobi Matrix
Convexity
Lie Algebra
Theorem
1988
17 Citations (Scopus)

A remark on integrable Hamiltonian systems

Flaschka, H., Sep 12 1988, In : Physics Letters A. 131, 9, p. 505-508 4 p.

Research output: Contribution to journalArticle

orbits

Preface

Casati, G., Chikikov, B., Flaschka, H. & Vivaldi, F., Oct 1988, In : Physica D: Nonlinear Phenomena. 33, 1-3

Research output: Contribution to journalArticle

1987

Editorial

Flaschka, H., Jan 1987, In : Physica D: Nonlinear Phenomena. 24, 1-3

Research output: Contribution to journalArticle

1984
16 Citations (Scopus)

Towards an algebro-geometric interpretation of the neumann system

Flaschka, H., 1984, In : Tohoku Mathematical Journal. 36, 3, p. 407-426 20 p.

Research output: Contribution to journalArticle

Lax Equation
Algebraic curve
Projective Space
Harmonic Oscillator
Differential operator
1983
15 Citations (Scopus)

Construction of conservation laws for lax equations: Comments on a paper by G. Wilson

Flaschka, H., Mar 1983, In : Quarterly Journal of Mathematics. 34, 1, p. 61-65 5 p.

Research output: Contribution to journalArticle

Lax Equation
Conservation Laws
87 Citations (Scopus)

Kac-moody lie algebras and soliton equations. II. Lax equations associated with A1 (1)

Flaschka, H., Newell, A. C. & Ratiu, T., 1983, In : Physica D: Nonlinear Phenomena. 9, 3, p. 300-323 24 p.

Research output: Contribution to journalArticle

Polynomial Eigenvalue Problem
Lax Equation
Soliton Equation
Kac-Moody Algebras
Solitons
12 Citations (Scopus)

Kac-moody lie algebras and soliton equations. III. Stationary equations associated with A1 (1)

Flaschka, H., Newell, A. C. & Ratiu, T., 1983, In : Physica D: Nonlinear Phenomena. 9, 3, p. 324-332 9 p.

Research output: Contribution to journalArticle

Hamiltonians
Soliton Equation
Kac-Moody Algebras
Hamiltonian Structure
Solitons
1982
74 Citations (Scopus)

Nonlinear normal modes for the Toda Chain

Ferguson, W. E., Flaschka, H. & McLaughlin, D. W., 1982, In : Journal of Computational Physics. 45, 2, p. 157-209 53 p.

Research output: Contribution to journalArticle

Mechanics
Impurities
classical mechanics
harmonics
perturbation
5 Citations (Scopus)

The Inverse Monodromy Transform is a Canonical Transformation

Flaschka, H. & Newell, A. C., 1982, In : North-Holland Mathematics Studies. 61, C, p. 65-89 25 p.

Research output: Contribution to journalArticle

Canonical Transformation
Monodromy
Preservation
KAM Theorem
Transform
1981
10 Citations (Scopus)

Multiphase similarity solutions of integrable evolution equations

Flaschka, H. & Newell, A. C., 1981, In : Physica D: Nonlinear Phenomena. 3, 1-2, p. 203-221 19 p.

Research output: Contribution to journalArticle

Exactly Solvable Models
nonlinear evolution equations
Statistical mechanics
Integrable Equation
Similarity Solution
71 Citations (Scopus)

Shock waves in the Toda lattice: Analysis

Holian, B. L., Flaschka, H. & McLaughlin, D. W., 1981, In : Physical Review A. 24, 5, p. 2595-2623 29 p.

Research output: Contribution to journalArticle

shock waves
shock
shock fronts
leading edges
molecular dynamics
1980
307 Citations (Scopus)

Monodromy- and spectrum-preserving deformations I

Flaschka, H. & Newell, A. C., Feb 1980, In : Communications in Mathematical Physics. 76, 1, p. 65-116 52 p.

Research output: Contribution to journalArticle

Monodromy
preserving
partial differential equations
singular integral equations
Rational Solutions
295 Citations (Scopus)

Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation

Flaschka, H., Forest, M. G. & McLaughlin, D. W., 1980, In : Communications on Pure and Applied Mathematics. 33, 6, p. 739-784 46 p.

Research output: Contribution to journalArticle

Korteweg-de Vries Equation
Averaging
Riemann Invariants
Conservation
Riemann Surface
1979
18 Citations (Scopus)

A commutator representation of Painlevé equations

Flaschka, H., 1979, In : Journal of Mathematical Physics. 21, 5, p. 1016-1018 3 p.

Research output: Contribution to journalArticle

Lax Representation
Electric commutators
commutators
Inverse Scattering
inverse scattering
1978

Introduction to discrete systems

Flaschka, H. & McLaughlin, D. W., Dec 1978, In : Rocky Mountain Journal of Mathematics. 8, 1-2, p. 125 1 p.

Research output: Contribution to journalArticle

Discrete Systems
3 Citations (Scopus)

Introduction to mathematical techniques for continuous problems

Flaschka, H. & McLaughlin, D. W., Dec 1978, In : Rocky Mountain Journal of Mathematics. 8, 1-2, p. 3-14 12 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Introduction to waves in plasmas

Flaschka, H. & McLaughlin, D. W., Dec 1978, In : Rocky Mountain Journal of Mathematics. 8, 1-2, p. 253-255 3 p.

Research output: Contribution to journalArticle

Plasma

Preface

Flaschka, H. & McLaughlin, D. W., Dec 1978, In : Rocky Mountain Journal of Mathematics. 8, 1-2, p. 1-2 2 p.

Research output: Contribution to journalArticle

1975
30 Citations (Scopus)
Nonlinear Operator
Functional Differential Equations
Mathematical operators
Differential equations
Semigroup
23 Citations (Scopus)

On the inverse problem for Hill's operator

Flaschka, H., Dec 1975, In : Archive for Rational Mechanics and Analysis. 59, 4, p. 293-309 17 p.

Research output: Contribution to journalArticle

Inverse problems
Mathematical operators
Inverse Problem
Operator
1974
472 Citations (Scopus)

The Toda lattice. II. Existence of integrals

Flaschka, H., 1974, In : Physical Review B. 9, 4, p. 1924-1925 2 p.

Research output: Contribution to journalArticle

Korteweg-de Vries equation
Partial differential equations
Equations of motion
Scattering
inverse scattering
1971

An asymptotic property of the roots of polynomials

Flaschka, H., 1971, In : Proceedings of the American Mathematical Society. 27, 3, p. 451-456 6 p.

Research output: Contribution to journalArticle

Asymptotic Properties
Polynomials
Roots
Hyperbolic Polynomial
Polynomial
50 Citations (Scopus)

The correctness of the Cauchy problem

Flaschka, H. & Strang, G., 1971, In : Advances in Mathematics. 6, 3, p. 347-379 33 p.

Research output: Contribution to journalArticle

Cauchy Problem
Correctness