Evolution equations associated with the discrete analog of the matrix Schrödinger spectral problem solvable by the inverse spectral transform

M. Bruschi; O. Ragnisco; D. Levi

doi:10.1063/1.524805

Evolution equations associated with the discrete analog of the matrix Schrödinger spectral problem solvable by the inverse spectral transform

Journal of Mathematical Physics ◽

10.1063/1.524805 ◽

1981 ◽

Vol 22 (11) ◽

pp. 2463-2471 ◽

Cited By ~ 25

Author(s):

M. Bruschi ◽

O. Ragnisco ◽

D. Levi

Keyword(s):

Spectral Problem ◽

Evolution Equations ◽

Discrete Analog ◽

Spectral Transform ◽

The Matrix ◽

Inverse Spectral

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Nonlinear evolution equations solvable by the inverse spectral transform associated to the matrix Schrödinger equation of rank 4

Il Nuovo Cimento B ◽

10.1007/bf02721015 ◽

1978 ◽

Vol 43 (2) ◽

pp. 251-270 ◽

Cited By ~ 5

Author(s):

M. Bruschi ◽

D. Levi ◽

O. Ragnisco

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform ◽

The Matrix ◽

Inverse Spectral

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Nonlinear Evolution Equations Solvable by the Inverse Spectral Transform Associated with the Matrix Schrödinger Equation

Topics in Current Physics - Solitons ◽

10.1007/978-3-642-81448-8_9 ◽

1980 ◽

pp. 301-323 ◽

Cited By ~ 6

Author(s):

F. Calogero ◽

A. Degasperis

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform ◽

The Matrix ◽

Inverse Spectral

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Nonlinear evolution equations connected with the matrix Schrodinger spectral problem

Journal of Physics A General Physics ◽

10.1088/0305-4470/25/1/026 ◽

1992 ◽

Vol 25 (1) ◽

pp. 231-240 ◽

Cited By ~ 2

Author(s):

Xing-Biao Hu

Keyword(s):

Spectral Problem ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

The Matrix

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Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2020.1729760 ◽

2020 ◽

Vol 28 (9) ◽

pp. 1307-1330 ◽

Cited By ~ 1

Author(s):

Natalia P. Bondarenko

Keyword(s):

Spectral Problem ◽

Liouville Operator ◽

Inverse Spectral Problem ◽

Constructive Solution ◽

The Matrix ◽

Sturm Liouville ◽

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 ◽

Cited By ~ 11

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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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line

Boundary Value Problems ◽

10.1186/s13661-014-0275-3 ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 2

Author(s):

Natalia Bondarenko

Keyword(s):

Spectral Problem ◽

Liouville Operator ◽

Inverse Spectral Problem ◽

Half Line ◽

The Matrix ◽

Sturm Liouville ◽

Inverse Spectral

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Existence of a Lax pair for any member of the class of nonlinear evolution equations associated to the matrix Schrödinger spectral problem

Lettere al Nuovo Cimento ◽

10.1007/bf02745063 ◽

1980 ◽

Vol 29 (10) ◽

pp. 321-326 ◽

Cited By ~ 19

Author(s):

M. Bruschi ◽

O. Ragnisco

Keyword(s):

Spectral Problem ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Lax Pair ◽

Nonlinear Evolution Equations ◽

The Matrix

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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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 18

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 ◽

Cited By ~ 9

Author(s):

F. Calogero

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform ◽

Inverse Spectral

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