The inverse spectral transform for the Dunajski hierarchy and some of its reductions: I. Cauchy problem and longtime behavior of solutions

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/48/21/215203 ◽

2015 ◽

Vol 48 (21) ◽

pp. 215203 ◽

Author(s):

G Yi ◽

P M Santini

Keyword(s):

Cauchy Problem ◽

Spectral Transform ◽

Inverse Spectral ◽

Longtime Behavior

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Numerical inverse spectral transform for the periodic sine-gordon equation: Theta function solutions and their linearized stability

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(91)90058-h ◽

1991 ◽

Vol 48 (1) ◽

pp. 169-231 ◽

Author(s):

Randy Flesch ◽

M.Gregory Forest ◽

Amarendra Sinha

Keyword(s):

Theta Function ◽

Gordon Equation ◽

Sine Gordon Equation ◽

Linearized Stability ◽

Spectral Transform ◽

Inverse Spectral

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An extension of the Toda lattice: a direct and inverse spectral transform connected with orthogonal rational functions

Inverse Problems ◽

10.1088/0266-5611/20/1/018 ◽

2004 ◽

Vol 20 (1) ◽

pp. 297-318 ◽

Author(s):

J Coussement ◽

W Van Assche

Keyword(s):

Toda Lattice ◽

Rational Functions ◽

Orthogonal Rational Functions ◽

Spectral Transform ◽

Inverse Spectral

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The Klein-Gordon inverse spectral transform

Lettere al Nuovo Cimento ◽

10.1007/bf02856242 ◽

1980 ◽

Vol 28 (3) ◽

pp. 107-111 ◽

Author(s):

J. J. P. Leon

Keyword(s):

Spectral Transform ◽

Klein Gordon ◽

Inverse Spectral

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Generic colourful tori and inverse spectral transform for Hankel operators

Tunisian Journal of Mathematics ◽

10.2140/tunis.2019.1.347 ◽

2019 ◽

Vol 1 (3) ◽

pp. 347-372 ◽

Author(s):

Patrick Gérard ◽

Sandrine Grellier

Keyword(s):

Hankel Operators ◽

Spectral Transform ◽

Inverse Spectral

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Transformations between solutions of different nonlinear evolution equations solvable via the same inverse spectral transform, generalized resolvent formulae and nonlinear operator identities

Lettere al Nuovo Cimento ◽

10.1007/bf02746962 ◽

1976 ◽

Vol 16 (6) ◽

pp. 181-186 ◽

Author(s):

F. Calogero ◽

A. Degasperis

Keyword(s):

Nonlinear Operator ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Generalized Resolvent ◽

Spectral Transform ◽

Inverse Spectral

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Toda flows, inverse spectral transform and realization theory

Systems & Control Letters ◽

10.1016/0167-6911(91)90001-u ◽

1991 ◽

Vol 16 (2) ◽

pp. 79-88 ◽

Author(s):

R.W. Brockett ◽

L.W. Baybusovich

Keyword(s):

Realization Theory ◽

Spectral Transform ◽

Inverse Spectral

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Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials

Inverse Problems ◽

10.1088/0266-5611/18/3/325 ◽

2002 ◽

Vol 18 (3) ◽

pp. 923-942 ◽

Author(s):

J Coussement ◽

A B J Kuijlaars ◽

W Van Assche

Keyword(s):

Orthogonal Polynomials ◽

Toda Lattice ◽

Spectral Transform ◽

Inverse Spectral ◽

Relativistic Toda Lattice

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Evolution equations associated to the triangular-matrix Schrödinger problem solvable by the inverse spectral transform

Il Nuovo Cimento A ◽

10.1007/bf02724665 ◽

1978 ◽

Vol 45 (2) ◽

pp. 225-237 ◽

Author(s):

M. Bruschi ◽

D. Levi ◽

O. Ragnisco

Keyword(s):

Evolution Equations ◽

Triangular Matrix ◽

Spectral Transform ◽

Inverse Spectral

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Nonlinear evolution equations solvable by the inverse spectral transform associated with the multichannel Schrödinger problem, and properties of their solutions

Lettere al Nuovo Cimento ◽

10.1007/bf02728255 ◽

1976 ◽

Vol 15 (3) ◽

pp. 65-69 ◽

Author(s):

F. Calogero ◽

A. Degasperis

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform ◽

Inverse Spectral

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Nonlinear evolution equations solvable by the inverse spectral transform

Mathematical Problems in Theoretical Physics - Lecture Notes in Physics ◽

10.1007/3-540-08853-9_21 ◽

1978 ◽

pp. 235-269 ◽

Author(s):

F. Calogero

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform ◽

Inverse Spectral

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