Inverse Spectral Problem for the Periodic Camassa-Holm Equation

Evgeni Korotyaev

doi:10.2991/jnmp.2004.11.4.6

Inverse Spectral Problem for the Periodic Camassa-Holm Equation

Journal of Nonlinear Mathematical Physics ◽

10.2991/jnmp.2004.11.4.6 ◽

2004 ◽

Vol 11 (4) ◽

pp. 499-507 ◽

Cited By ~ 4

Author(s):

Evgeni Korotyaev

Keyword(s):

Spectral Problem ◽

Inverse Spectral Problem ◽

Holm Equation ◽

Inverse Spectral

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The Inverse Spectral Problem for Periodic Conservative Multi-peakon Solutions of the Camassa–Holm Equation

International Mathematics Research Notices ◽

10.1093/imrn/rny176 ◽

2018 ◽

Vol 2020 (16) ◽

pp. 5126-5151

Author(s):

Jonathan Eckhardt ◽

Aleksey Kostenko

Keyword(s):

Spectral Problem ◽

Inverse Spectral Problem ◽

Finite Dimensional ◽

Holm Equation ◽

Inverse Spectral

Abstract We solve the inverse spectral problem associated with periodic conservative multi-peakon solutions of the Camassa–Holm equation. The corresponding isospectral sets can be identified with finite-dimensional tori.

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On the Inverse Spectral Problem for the Camassa–Holm Equation

Journal of Functional Analysis ◽

10.1006/jfan.1997.3231 ◽

1998 ◽

Vol 155 (2) ◽

pp. 352-363 ◽

Cited By ~ 149

Author(s):

Adrian Constantin

Keyword(s):

Spectral Problem ◽

Inverse Spectral Problem ◽

Holm Equation ◽

Inverse Spectral

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Regularized Trace for N-Dimensional Vectorial Sturm-Liouville Operator and Its Application in the Inverse Spectral Problem

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2010.00137 ◽

2010 ◽

Vol 12 (2) ◽

pp. 137-142

Author(s):

Chuanfu YANG ◽

Zhenyou HUANG

Keyword(s):

Spectral Problem ◽

Liouville Operator ◽

Inverse Spectral Problem ◽

Regularized Trace ◽

Sturm Liouville ◽

Inverse Spectral

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An Inverse Spectral Problem of Sturm–Liouville Problems with Transmission Conditions

Mediterranean Journal of Mathematics ◽

10.1007/s00009-020-01598-0 ◽

2020 ◽

Vol 17 (5) ◽

Author(s):

Ji-jun Ao ◽

Liang Zhang

Keyword(s):

Spectral Problem ◽

Inverse Spectral Problem ◽

Transmission Conditions ◽

Sturm Liouville ◽

Inverse Spectral

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Solution of the Inverse Spectral Problem for a Rod Weakened by Transverse Cracks by the Levenberg—Marquardt Optimization Algorithm

Mechanics of Solids ◽

10.3103/s0025654419060025 ◽

2019 ◽

Vol 54 (6) ◽

pp. 857-872 ◽

Cited By ~ 2

Author(s):

I. M. Lebedev ◽

E. I. Shifrin

Keyword(s):

Spectral Problem ◽

Optimization Algorithm ◽

Inverse Spectral Problem ◽

Transverse Cracks ◽

Levenberg Marquardt ◽

Inverse Spectral

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Some uniqueness results of discontinuous coefficients for the one-dimensional inverse spectral problem

Inverse Problems ◽

10.1088/0266-5611/19/4/306 ◽

2003 ◽

Vol 19 (4) ◽

pp. 871-894 ◽

Cited By ~ 5

Author(s):

Mourad Sini

Keyword(s):

Spectral Problem ◽

Inverse Spectral Problem ◽

Discontinuous Coefficients ◽

One Dimensional ◽

Uniqueness Results ◽

Inverse Spectral ◽

The One

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Numerical solution of the inverse spectral problem for Bessel operators

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.05.018 ◽

2010 ◽

Vol 235 (1) ◽

pp. 120-136 ◽

Cited By ~ 2

Author(s):

Rostyslav Hryniv ◽

Paul Sacks

Keyword(s):

Numerical Solution ◽

Spectral Problem ◽

Inverse Spectral Problem ◽

Bessel Operators ◽

Inverse Spectral

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Solution of the inverse spectral problem of the theory of frequencies of vibrations of many-atom molecules, by least-squares method

Journal of Applied Spectroscopy ◽

10.1007/bf00605808 ◽

1971 ◽

Vol 14 (5) ◽

pp. 652-658

Author(s):

V. A. Dement'ev ◽

L. A. Gribov

Keyword(s):

Least Squares ◽

Spectral Problem ◽

Inverse Spectral Problem ◽

Least Squares Method ◽

Inverse Spectral

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Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2018.1479749 ◽

2018 ◽

Vol 27 (8) ◽

pp. 1081-1119

Author(s):

Hélène Barucq ◽

Chokri Bekkey ◽

Rabia Djellouli

Keyword(s):

Spectral Problem ◽

Mathematical Analysis ◽

Optical Waveguides ◽

Inverse Spectral Problem ◽

Inverse Spectral ◽

Solution Methodology

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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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