On the ubiquitous Gelfand-Levitan-Marčenko (GLM) equation
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Publication:2640057
DOI10.1007/BF00046563zbMath0719.35067MaRDI QIDQ2640057
Publication date: 1990
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
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Cites Work
- Integrable Hamiltonian systems connected with graded Lie algebras
- Solitons and infinite dimensional Lie algebras
- Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
- Fredholm determinants and the \(\tau\) function for the Kadomtsev- Petviashvili hierarchy
- The Kadomtsev-Petviashvili equations and fundamental string theory
- Nonlinear Schrödinger equations and simple Lie algebras
- A unified Hamiltonian system on polynomial bundles, and the structure of stationary problems
- Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
- Bäcklund equations on Kac-Moody-Lie algebras and integrable systems
- Hamiltonian structure of Kadomtsev-Petviashvili type equations
- An inverse scattering formalism for higher-order differential operators
- Gauge covariant theory of the generating operator. I
- The D-bar approach to inverse scattering and nonlinear evolutions
- Characterization of Jacobian varieties in terms of soliton equations
- Inverse scattering for the heat operator and evolutions in \(2+1\) variables
- Quantum field theory, Grassmannians, and algebraic curves
- Geometric realization of conformal field theory on Riemann surfaces
- Gauge theory of Bäcklund transformations. II
- Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
- Solvability of the super KP equation and generalized of the Birkhoff decomposition
- New bosonization and conformal field theory over \({\mathbb{Z}}\)
- On a class of polynomials connected with the Korteweg-de Vries equation
- The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
- Completely integrable systems, Euclidean Lie algebras, and curves
- Systems of Toda type, inverse spectral problems, and representation theory
- Introduction to superstrings
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Integration of nonlinear equations by the methods of algebraic geometry
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- The homogeneous realization of the basic representation of \(A_ 1^{(1)}\) and the Toda lattice
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Cohomological structure in soliton equations and Jacobian varieties
- New Representations of the Soliton Solution for the Korteweg-de Vries Equation
- Flat Connections and Scattering Theory on the Line
- The direct linearization of a class of nonlinear evolution equations
- Impedance profile recovery from transmission data
- CONSTRUCTION OF CONSERVATION LAWS FOR LAX EQUATIONS: COMMENTS ON A PAPER BY G. WILSON
- General determinants and the tau function for the Kadomtsev-Petviashvili hierarchy
- Geometry of KDV (5): Scattering from the Grassmannian viewpoint
- Matrix hierarchies and vector bundles over Riemann surfaces
- Differential Methods in Inverse Scattering
- Fourier type analysis and the marcenko equation
- Some spectral formulas for systems and transmission lines
- Generalised Fourier transforms for the soliton equations. Gauge-covariant formulation
- Integrable equations in (2+1) dimensions associated with symmetric and homogeneous spaces
- Commuting flows and conservation laws for Lax equations
- AUTOMORPHISMS OF BANACH MANIFOLDS ASSOCIATED WITH THE KP-EQUATION
- Some remarks on Newton–Sabatier methods
- On the variational determination of Glm kernels
- Dressing transformations and Poisson group actions
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