Search Results - "Inverse scattering transform"

Variable-Coefficient Fractional High-Order Nonlinear Models: Establishment and Solutions.

Authors: An, Chunxia Zhang, Jinling Zhang, Sheng

Source: Fractal & Fractional. Jun2026, Vol. 10 Issue 6, p380. 20p.

Multiparameter Bayesian full-waveform inversion with uncertainty quantification based on regularized inverse scattering theory for elastic transversely isotropic media.

Authors: Ye, Wen-Rui Huang, Xing-Guo

Source: Petroleum Science (KeAi Communications Co.). Jun2026, Vol. 23 Issue 6, p3180-3212. 33p.

全涂层介质内部反散射的传输特征值问题.

Alternate Title: Transmission eigenvalue problem of internal inverse scattering for fully coated media.

Authors: 丁慧慧 刘立汉

Source: Acta Scientiarum Naturalium Universitatis Sunyatseni / Zhongshan Daxue Xuebao. May2026, Vol. 65 Issue 3, p151-160. 10p.

N -Triple-Pole Solitons in Matrix NLS Systems: Inverse Scattering Transform Under Nonzero Boundary Conditions.

Authors: Zheng, Youhui He, Zixuan Zhang, Guofei et al.

Source: Symmetry (20738994). Apr2026, Vol. 18 Issue 4, p576. 29p.

Application of solving inverse scattering problem in holographic bulk reconstruction.

Authors: Fan, Bo-Wen Yang, Run-Qiu

Source: Journal of High Energy Physics. Mar2026, Vol. 2026 Issue 3, p1-26. 26p.

On the Integration of the Dullin-Gottwald-Holm Equation with a Self-Consistent Source in the Class of Rapidly Decreasing Functions.

Authors: Babajanov, Bazar Iskandarov, Abbosbek

Source: European Journal of Pure & Applied Mathematics. Jan2026, Vol. 19 Issue 1, p1-16. 16p.

Approximate direct and inverse scattering for the AKNS system.

Authors: Kravchenko, Vladislav V.¹ (AUTHOR) vkravchenko@math.cinvestav.edu.mx

Source: Journal of Inverse & Ill-Posed Problems. Jun2026, Vol. 34 Issue 3, p395-418. 24p.

Subjects: Scattering (Mathematics), Inverse scattering transform, Power series, Numerical analysis, Integrable systems, Spectral theory, Linear systems

PT-Symmetric Dirac Inverse Spectral Problem with Discontinuity Conditions on the Whole Axis.

Authors: Efendiev, Rakib Feyruz Juraev, Davron Aslonqulovich Elsayed, Ebrahim E.

Source: Symmetry (20738994). Oct2025, Vol. 17 Issue 10, p1603. 14p.

Asymptotic Behavior Analysis of Solutions for the Coupled WKI Type Equation With the Schwartz Initial Data.

Authors: Liu, Wenhao Qin, Xiaowei Geng, Xianguo

Source: Mathematical Methods in the Applied Sciences. Aug2025, Vol. 48 Issue 12, p12234-12257. 24p.

On the dataset generation for a fully connected neural network for time-harmonic inverse acoustic scattering.

Authors: Guimarães, Pedro Rézio, Sofia Serranho, Pedro

Source: AIP Conference Proceedings. 2026, Vol. 3489 Issue 1, p1-4. 4p.

On the Coupled Maxwell–Bloch System of Equations With Nondecaying Fields at Infinity.

Authors: Li, Sitai Biondini, Gino Kovačič, Gregor

Source: Studies in Applied Mathematics. May2025, Vol. 154 Issue 5, p1-54. 54p.

Subjects: Nonlinear optics, Inverse scattering transform, Solitons, Optical spectra, Optical materials, Nonlinear optical techniques, Boundary value problems

Inverse Scattering Transform for the Coupled Modified Complex Short Pulse Equation: Multiple Higher Order Poles Case.

Authors: Lv, Cong Shen, Shoufeng Liu, Q. P.

Source: Studies in Applied Mathematics. Mar2026, Vol. 156 Issue 3, p1-24. 24p.

Long‐Time Asymptotics for the Modified Camassa–Holm Positive Flow With the Schwartz Initial Data.

Authors: Wang, Kedong Geng, Xianguo

Source: Studies in Applied Mathematics. Feb2026, Vol. 156 Issue 2, p1-44. 44p.

Partial Mass Dynamics of the Defocusing Nonlinear Schrödinger Equation.

Authors: Liu, Jiaqi Xu, Xixi

Source: Studies in Applied Mathematics. Feb2026, Vol. 156 Issue 2, p1-29. 29p.

Explicit solutions in inverse scattering method for negative-order AKNS equations.

Authors: Sabaz, Cihan Ismailov, Mansur I.

Source: Reports on Mathematical Physics. Apr2026, Vol. 97 Issue 2, p257-273. 17p.

Subjects: Inverse scattering transform, Lax pair, Integrable systems, Solitons

Explicit inverse scattering for the one-dimensional Schrödinger equation.

Authors: Gibson, Peter C.¹ (AUTHOR) pcgibson@yorku.ca

Source: Mathematical Models & Methods in Applied Sciences. Apr2026, Vol. 36 Issue 4, p751-785. 35p.

Subjects: Schrödinger equation, Inverse scattering transform, Acoustic imaging, Schroedinger, Erwin, 1887-1961, Electric impedance, Numerical calculations, Quantum scattering, Scattering (Mathematics)

Unified Wronskian formulation of inverse scattering with supersymmetric quantum mechanics.

Authors: Bozet, Q Sparenberg, J-M

Source: Journal of Physics A: Mathematical & Theoretical. 2026, Vol. 59 Issue 9, p1-10. 10p.

Subjects: Inverse scattering transform, Supersymmetry, Bound states

On the Inverse Scattering Problem for the Schrödinger Equation with Increasing Potential.

Authors: Khanmamedov, A. Kh. Mamedova, A. F.

Source: Azerbaijan Journal of Mathematics. Jul2025, Vol. 15 Issue 2, p105-112. 8p.

Integration of the Hierarchy of the Kaup-Boussinesq System Via Inverse Scattering Method.

Authors: Babajanov, B. A. Abdikarimov, F. B.

Source: Azerbaijan Journal of Mathematics. Jul2025, Vol. 15 Issue 2, p23-36. 14p.

ON THE INITIAL VALUE PROBLEM FOR THE NON-STATIONARY NONLINEAR HIROTA EQUATION WITH A LOWER-ORDER TERM.

Authors: HOITMETOV, UMID A. MUSAEVA, FERUZA K.

Source: Proceedings of Institute of Mathematics & Mechanics National Academy of Sciences of Azerbaijan. 2025, Vol. 51 Issue 2, p259-276. 18p.