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Bountis, Tassos (ed.) et al., Chaos, fractals and complexity. Selected papers based on the presentations at the 8th summer school-conference on dynamical systems and complexity, Crete, Greece, July 18–26, 2022. Cham: Springer. Springer Proc. Complex., 275-288 (2023).

MSC: 35Q55 35Q53 35G31 35G16 37K10 37K15 35A01 35A02

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Gudimenko, Aleksey Ivanovich

Inverse spectral problem for an antisymmetric tridiagonal matrix. (Russian. English summary) Zbl 1545.15018

Sib. Èlektron. Mat. Izv. 20, No. 2, 1026-1036 (2023).

MSC: 15A29 33C45 47B36

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Hoitmetov, Umid Azadovich

Integration of the loaded mKdV-sine-Gordon equation with a source. (English) Zbl 07896801

Sib. Èlektron. Mat. Izv. 20, No. 2, 859-879 (2023).

MSC: 37K15 37K10 35Q51 35Q53

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Sadybekov, M.; Derbissaly, B.

Direct and inverse initial boundary value problems for heat equation with non-classical boundary condition. (English) Zbl 1541.35269

Lobachevskii J. Math. 44, No. 10, 4360-4369 (2023).

MSC: 35K20 35R30

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Ma, Wen-Xiu

Novel Liouville integrable Hamiltonian models with six components and three signs. (English) Zbl 1546.37114

Chin. J. Phys., Taipei 86, 292-299 (2023).

MSC: 37K10 37K15 35Q53 35Q55 35Q51

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Urazboev, G. U.; Yakhshimuratov, A. B.; Khasanov, M. M.

Integration of negative-order modified Korteweg-de Vries equation in a class of periodic functions. (English. Russian original) Zbl 1536.37066

Theor. Math. Phys. 217, No. 2, 1689-1699 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 317-328 (2023).

MSC: 37K15 37K10 35Q53

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Sadovnichii, V. A.; Sultanaev, Ya. T.; Valeev, N. F.

Optimization spectral problem for the Sturm-Liouville operator in a vector function space. (English. Russian original) Zbl 1541.34034

Dokl. Math. 108, No. 2, 406-410 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 93-98 (2023).

Reviewer: Amin Boumenir (Carrollton)

MSC: 34A55 34B24 34L40

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Zhang, Yongshuai; Wu, Haibing; Qiu, Deqin

Revised Riemann-Hilbert problem for the derivative nonlinear Schrödinger equation: vanishing boundary condition. (English. Russian original) Zbl 1530.35173

Theor. Math. Phys. 217, No. 1, 1595-1608 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 204-219 (2023).

MSC: 35Q15 35Q55 37K15

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Khasanov, Muzaffar Masharipovich; Rakhimov, Ilkhom Davronbekovich

Integration of the KdV equation of negative order with a free term in the class of periodic functions. (Russian. English summary) Zbl 1533.35298

Chebyshevskiĭ Sb. 24, No. 2(88), 266-275 (2023).

MSC: 35Q53 35R30 37K15 35B10

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Mirzaev, Olim Èrkinovich

Partially-isospectral Sturm-Liouville boundary value problems on the finite segment. (Russian. English summary) Zbl 1534.34038

Chebyshevskiĭ Sb. 24, No. 1(87), 104-113 (2023).

MSC: 34B24 34L15 34A55

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Ismailov, Mansur I.

Inverse scattering problem for linear system of four-wave interaction problem on the half-line with a general boundary condition. (English) Zbl 1532.35527

J. Math. Phys. Anal. Geom. 19, No. 2, 443-455 (2023).

MSC: 35R30 35L50 35P25 37K15 81U40

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Sun, L. L.; Chang, M. L.

Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem. (English) Zbl 1535.65174

Netw. Heterog. Media 18, No. 1, 212-243 (2023).

MSC: 65M32 35R11 35R30 65M06 65M60 65M70

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Nabiev, Ibrahim M.; Mammadova, Leyla I.; Mammedzadeh, Guldane S.

Algorithms for recovery of diffusion and Sturm-Liouville operators with semi-separated boundary conditions. (English) Zbl 1529.34019

Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 49, No. 2, 219-227 (2023).

MSC: 34A55 34B24 34L05 47E05

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Berezansky, Yurij M.; Dudkin, Mykola E.

Jacobi matrices and the moment problem. (English) Zbl 07795958

Operator Theory: Advances and Applications 294. Cham: Birkhäuser (ISBN 978-3-031-46386-0/hbk; 978-3-031-46389-1/pbk; 978-3-031-46387-7/ebook). ix, 485 p. (2023).

Reviewer: Vladimir A. Derkach (Donetsk)

MSC: 47A57 42A70 44A60 47B36

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Guo, Yan; Ma, Li-Jie; Xu, Xiao-Chuan; An, Qi

Weak and strong stability of the inverse Sturm-Liouville problem. (English) Zbl 1538.34068

Math. Methods Appl. Sci. 46, No. 14, 15684-15705 (2023).

MSC: 34A55 34B24

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Huang, Hua; Li, Huizhen; Zhou, Zhigang

Inverse scattering problem for the high order Schrödinger operator at fixed angles scattering amplitude. (English) Zbl 1529.37039

J. Nonlinear Math. Phys. 30, No. 4, 1804-1820 (2023).

MSC: 37K15 35Q55

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Efendiev, R. F.; Annaghili, Sh.

Inverse spectral problem of discontinuous non-self-adjoint operator pencil with almost periodic potentials. (English) Zbl 1538.34067

Azerb. J. Math. 13, No. 1, 156-171 (2023).

MSC: 34A55 34A36 34L05

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Filipkovska, Maria

Initial-boundary value problem for the Maxwell-Bloch equations with an arbitrary inhomogeneous broadening and periodic boundary function. (English) Zbl 1531.35300

SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 096, 39 p. (2023).

MSC: 35Q60 35Q15 35Q55 78A60 37K10 37K15 45E05

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Charlier, Christophe; Lenells, Jonatan; Wang, Deng-Shan

The “good” Boussinesq equation: long-time asymptotics. (English) Zbl 1531.35056

Anal. PDE 16, No. 6, 1351-1388 (2023).

MSC: 35B40 35G25 35Q15 37K15 76B15

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Kravchenko, Vladislav V.

Spectrum completion and inverse Sturm-Liouville problems. (English) Zbl 1538.34105

Math. Methods Appl. Sci. 46, No. 5, 5821-5835 (2023).

MSC: 34B24 34A55 65L09 34L05

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Peng, Wei-Qi; Chen, Yong

Bound-state soliton and rogue wave solutions for the sixth-order nonlinear Schrödinger equation via inverse scattering transform method. (English) Zbl 1529.35477

Math. Methods Appl. Sci. 46, No. 1, 126-141 (2023).

MSC: 35Q55 35Q41 35Q15 35Q51 35C08 37K15 37K35

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Found 2,030 Documents (Results 1–100)

Solving Barcilon’s inverse problems by the method of spectral mappings. (English) Zbl 07967931

Structural properties of Krylov subspaces, Krylov solvability, and applications to unbounded self-adjoint operators. (English) Zbl 07966024

A Haar wavelets-based direct reconstruction method for the Cauchy problem of the Poisson equation. (English) Zbl 07962676

Multi-geometric discrete spectral problem with several pairs of zeros for sasa-Satsuma equation. (English) Zbl 07961447

Integration of a nonlinear sine-Gordon-Liouville-type equation in the class of periodic infinite-gap functions. (English) Zbl 07961346

The unified transformation approach to higher-order Gerdjikov-Ivanov model and Riemann-Hilbert problem. (English) Zbl 07922171

Dirac systems with locally square-integrable potentials: direct and inverse problems for the spectral functions. (English) Zbl 07969029

Integration of the loaded negative order nonlinear Schrödinger equation in the class of periodic functions. (Integration of the loaded negative order nonlinear Schrodinger equation in the class of periodic functions.) (English) Zbl 07967578

Inverse scattering transform for the focusing Hirota equation with asymmetric boundary conditions. (English. Russian original) Zbl 07967531

Comment on: “Direct and inverse problems for a third order self-adjoint differential operator with periodic boundary conditions and nonlocal potential”. (English) Zbl 07960478

Determination of an unknown coefficient in the Korteweg-de Vries equation. (English) Zbl 07959817

On recovering Sturm-Liouville operators with two delays. (English) Zbl 07959814

An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions. (English) Zbl 07959658

Riemann-Hilbert problem and soliton solutions with their asymptotic analysis for the focusing nonlocal Hirota equation with step-like initial data. (English) Zbl 07955372

A space-time least-squares support vector regression scheme for inverse source problem of the time-fractional wave equation. (English) Zbl 07947231

Stability of the inverse transmission eigenvalue problem for the Schrödinger operator on the half line. (Chinese. English summary) Zbl 07938011

Inverse problem for Sturm-Liouville operator with complex-valued weight and eigenparameter dependent boundary conditions. (English) Zbl 07933881

A review on the direct and inverse transmission eigenvalue problem for the spherically symmetric refractive index. (English) Zbl 07932553

An inverse spectral problem for non-self-adjoint Jacobi matrices. (English) Zbl 07931184

Novel integrable Hamiltonian hierarchies with six potentials. (English) Zbl 07930626

Inverse scattering transform for the Sasa-Satsuma equation: multiple-pole case of \(N\) pairs. (English) Zbl 07930178

Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation. (English) Zbl 1547.65156

Inverse problems for locally perturbed lattices – discrete Hamiltonian and quantum graph. (Problèmes inverses pour treillis localement perturbés – Hamiltonien discret et graphe quantique.) (English. French summary) Zbl 07914796

Existence of global solutions to the nonlocal mKdV equation on the line. (English) Zbl 1547.35604

Inverse source problem of the biharmonic equation from multifrequency phaseless data. (English) Zbl 1546.65099

Physics-informed deep learning of rate-and-state fault friction. (English) Zbl 07904370

Transient asymptotics of the modified Camassa-Holm equation. (English) Zbl 1545.35165

Numerical aspects of Casimir energy computation in acoustic scattering. (English) Zbl 07899265

Cauchy problem for the Korteweg-de Vries equation in the class of periodic infinite-gap functions. (English. Russian original) Zbl 1545.35158

Inverse coefficient problem for the 2D wave equation with initial and nonlocal boundary conditions. (English) Zbl 07896370

The inverse problem for the impulsive differential pencil. (English) Zbl 07896168

Solution of inverse geometric problems using a non-iterative MFS. (English) Zbl 1542.65144

On Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background. (English) Zbl 07895059

Three-spectra inverse problem for the perturbed Bessel operators. (English) Zbl 07893996

Riemann-Hilbert problem associated with an integrable generalized mixed nonlinear Schrödinger equation. (English) Zbl 1545.35074

Right and left inverse scattering problems formulations for the Zakharov-Shabat system. (English) Zbl 1544.65232

Optimization inverse spectral problem for the one-dimensional Schrödinger operator on the entire real line. (English. Russian original) Zbl 07891409

Boussinesq’s equation for water waves: asymptotics in sector I. (English) Zbl 07888726

The Sasa-Satsuma equation with high-order discrete spectra in space-time solitonic regions: soliton resolution via the mixed \(\bar{\partial}\)-Riemann-Hilbert problem. (English) Zbl 1544.37054

Counterexample to Barcilon’s uniqueness theorem for the fourth-order inverse spectral problem. (English) Zbl 07887438

Reconstruction of the solution of inverse Sturm-Liouville problem. (English) Zbl 07880475

Long-time asymptotics for a complex cubic Camassa-Holm equation. (English) Zbl 1543.35213

Integration of negative-order modified Korteweg-de Vries equation with an integral source. (Russian. English summary) Zbl 1543.35211

Long-time asymptotics for the defocusing Ablowitz-Ladik system with initial data in lower regularity. (English) Zbl 1547.37091

A kernel machine learning for inverse source and scattering problems. (English) Zbl 07870737

On recovering Dirac operators with two delays. (English) Zbl 1546.34170

Inverse spectral problem for the Schrödinger operator on the square lattice. (English) Zbl 07867321

Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges. (English) Zbl 1547.34029

Solvability of the inverse spectral problem for Sturm-Liouville operator with spectral parameter in the boundary condition. (English) Zbl 07860941

A four-component hierarchy of combined integrable equations with bi-Hamiltonian formulations. (English) Zbl 1547.35635

Type \((\lambda^\ast,\lambda)\) reduced nonlocal integrable AKNS equations and their soliton solutions. (English) Zbl 1547.35634

On behavior analysis of solutions for the coupled higher-order WKI equation. (English) Zbl 07855428

Spectral geometry of unduloids. (English) Zbl 1541.35553

Local stability of half inverse problems with boundary conditions dependent on the spectral parameter. (English) Zbl 07852479

Dictionary-based model reduction for state estimation. (English) Zbl 1541.65083

Riemann-Hilbert approach and multiple arbitrary-order pole solutions for the Lakshmanan-Porsezian-Daniel equation with finite density initial data. (English) Zbl 1542.35272

The Dbar-dressing method for the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1537.37088

On the inverse spectral problem for the one-dimensional Stark operator on the semiaxis. (English) Zbl 1536.34019

Multiple higher-order pole solutions in spinor Bose-Einstein condensates. (English) Zbl 1542.37062

Inverse spectral problem for a third-order differential operator on a finite interval. (English) Zbl 07839396

Interior inverse problem for global conservative multipeakon solutions of the Camassa-Holm equation. (English) Zbl 1542.37063

Ambarzumyan’s theorem for the Dirac operator on equilateral tree graphs. (English) Zbl 1541.34049

Inverse spectral problems for Dirac-type operators with global delay on a star graph. (English) Zbl 1540.34144

Uniqueness of nonlinear inverse problem for Sturm-Liouville operator with multiple delays. (English) Zbl 1535.34028

Fast imaging of local perturbations in a unknown bi-periodic layered medium. (English) Zbl 07829501

Long-time asymptotics of the Hunter-Saxton equation on the line. (English) Zbl 1534.35350

A two-component Sasa-Satsuma equation: large-time asymptotics on the line. (English) Zbl 1534.35280

Incomplete inverse problem for Dirac operator with constant delay. (English) Zbl 1535.34060

Inverse scattering transform for the coupled modified complex short pulse equation: Riemann-Hilbert approach and soliton solutions. (English) Zbl 1533.35325

Inverse nodal problem for singular Sturm-Liouville operator on a star graph. (English) Zbl 1540.34053

Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data. (English) Zbl 1532.35330

Some recent developments on the Steklov eigenvalue problem. (English) Zbl 1532.58004

Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities. (English. Russian original) Zbl 1533.34003