Spectral Transform and Solitons: How to Solve and Investigate Nonlinear Evolution Equations

Order and Chaos in Nonlinear Physical Systems ◽

10.1007/978-1-4899-2058-4_3 ◽

1988 ◽

pp. 63-137 ◽

Cited By ~ 1

Author(s):

F. Calogero ◽

A. Degasperis

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform

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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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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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Extension of the spectral transform method for solving nonlinear evolution equations.—II

Lettere al Nuovo Cimento ◽

10.1007/bf02820606 ◽

1978 ◽

Vol 22 (7) ◽

pp. 263-269 ◽

Cited By ~ 17

Author(s):

F. Calogero ◽

A. Degasperis

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Transform Method ◽

Spectral Transform

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Spectral transform and nonlinear evolution equations

Applied Inverse Problems - Lecture Notes in Physics ◽

10.1007/3-540-09094-0_84 ◽

1978 ◽

pp. 274-295 ◽

Cited By ~ 1

Author(s):

F. Calogero ◽

A. Degasperis

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform

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Spectral Transform and Solitons - Tools to Solve and Investigate Nonlinear Evolution Equations

10.1016/s0168-2024(08)x7017-1 ◽

1982 ◽

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform

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A class of nonlinear evolution equations solvable by the inverse spectral transform

Acta Mathematica Sinica English Series ◽

10.1007/bf02560004 ◽

1985 ◽

Vol 1 (1) ◽

pp. 55-71 ◽

Cited By ~ 4

Author(s):

Zhuang Dawei ◽

Li Yishen

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.—I

Il Nuovo Cimento B ◽

10.1007/bf02727634 ◽

1976 ◽

Vol 32 (2) ◽

pp. 201-242 ◽

Cited By ~ 197

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 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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Spectral transform for nonlinear evolution equations with N space dimensions

Physics Letters A ◽

10.1016/0375-9601(92)90558-4 ◽

1992 ◽

Vol 161 (4) ◽

pp. 345-351 ◽

Cited By ~ 10

Author(s):

P.C. Sabatier

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Spectral Transform

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