Inverse scattering problem for the two-dimensional Schr�dinger operator, the $$\bar \partial$$ -method and nonlinear equations

P. G. Grinevich; S. V. Manakov

doi:10.1007/bf01077263

Inverse scattering problem for the two-dimensional Schr�dinger operator, the $$\bar \partial$$ -method and nonlinear equations

Functional Analysis and Its Applications ◽

10.1007/bf01077263 ◽

1986 ◽

Vol 20 (2) ◽

pp. 94-103 ◽

Cited By ~ 38

Author(s):

P. G. Grinevich ◽

S. V. Manakov

Keyword(s):

Nonlinear Equations ◽

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Two Dimensional

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Computational Approach Based on a Differential Evolution with Self-Adaptive Concept for Microwave Imaging of Two-Dimensional Inverse Scattering Problem

Electromagnetics ◽

10.1080/02726343.2012.726912 ◽

2012 ◽

Vol 32 (8) ◽

pp. 451-464 ◽

Cited By ~ 3

Author(s):

Chien-Ching Chiu ◽

Chi-Hsien Sun

Keyword(s):

Differential Evolution ◽

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Computational Approach ◽

Microwave Imaging ◽

Two Dimensional ◽

Self Adaptive

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Application of Differential Evolution to a Two-Dimensional Inverse Scattering Problem

Differential Evolution in Electromagnetics - Evolutionary Learning and Optimization ◽

10.1007/978-3-642-12869-1_4 ◽

2010 ◽

pp. 73-105

Author(s):

Krishna Agarwal ◽

Xudong Chen ◽

Yu Zhong

Keyword(s):

Differential Evolution ◽

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Two Dimensional

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The Inverse Scattering Problem for the Perturbed String Equation and Its Application to Integration of the Two-dimensional Generalization from Korteweg-de Vries Equation

Acta Mathematica Vietnamica ◽

10.1007/s40306-020-00365-3 ◽

2020 ◽

Vol 45 (4) ◽

pp. 807-831

Author(s):

Pham Loi Vu

Keyword(s):

Inverse Scattering ◽

Vries Equation ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

String Equation ◽

Two Dimensional ◽

De Vries

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On a two-dimensional inverse scattering problem for a dielectric

Applicable Analysis ◽

10.1080/00036811.2011.619981 ◽

2012 ◽

Vol 91 (4) ◽

pp. 757-771 ◽

Cited By ~ 12

Author(s):

Ahmet Altundag ◽

Rainer Kress

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Two Dimensional

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The inverse scattering problem for the perturbed string equation and its application to integration of the two-dimensional generalization from Korteweg-de Vries equation

Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations ◽

10.1201/9780429328459-8 ◽

2019 ◽

pp. 323-352

Author(s):

Pham Loi Vu

Keyword(s):

Inverse Scattering ◽

Vries Equation ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

String Equation ◽

Two Dimensional ◽

De Vries

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On the feasibility of impulse reflection response data for the two-dimensional inverse scattering problem

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.546241 ◽

1996 ◽

Vol 44 (12) ◽

pp. 1551-1564 ◽

Cited By ~ 12

Author(s):

A.E. Yagle ◽

J.L. Frolik

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Two Dimensional ◽

Response Data

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Inverse scattering problem for two-dimensional Schrödinger operator

Journal of Inverse and Ill-Posed Problems ◽

10.1515/156939406777340946 ◽

2006 ◽

Vol 14 (3) ◽

pp. 295-305 ◽

Cited By ~ 10

Author(s):

V. Serov ◽

L. Päivärinta

Keyword(s):

Inverse Scattering ◽

Schrödinger Operator ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Two Dimensional ◽

Schrodinger Operator

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Inverse Scattering Problem for a Two Dimensional Random Potential

Communications in Mathematical Physics ◽

10.1007/s00220-008-0416-6 ◽

2008 ◽

Vol 279 (3) ◽

pp. 669-703 ◽

Cited By ~ 13

Author(s):

Matti Lassas ◽

Lassi Päivärinta ◽

Eero Saksman

Keyword(s):

Inverse Scattering ◽

Random Potential ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Two Dimensional

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Two-dimensional ?inverse scattering problem? for negative energies and generalized-analytic functions. I. Energies below the ground state

Functional Analysis and Its Applications ◽

10.1007/bf01077719 ◽

1988 ◽

Vol 22 (1) ◽

pp. 19-27 ◽

Cited By ~ 53

Author(s):

P. G. Grinevich ◽

S. P. Novikov

Keyword(s):

Inverse Scattering ◽

Ground State ◽

Analytic Functions ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Two Dimensional ◽

Generalized Analytic Functions

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The two-dimensional inverse scattering problem

IRE Transactions on Antennas and Propagation ◽

10.1109/tap.1970.1139769 ◽

1970 ◽

Vol 18 (5) ◽

pp. 633-642 ◽

Cited By ~ 62

Author(s):

W. Imbriale ◽

R. Mittra

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Two Dimensional

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