The Schrödinger equation and a multidimensional inverse scattering transform
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Publication:4795137
DOI10.1002/mma.374zbMath1016.35064OpenAlexW1991189777MaRDI QIDQ4795137
Publication date: 23 February 2003
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.374
Scattering theory for PDEs (35P25) Functions of hypercomplex variables and generalized variables (30G35) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory of linear operators (47A40)
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Cites Work
- Hypercomplex factorization of the Helmholtz equation
- Martinelli-Bochner type formulae in complex Clifford analysis
- Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations
- Multidimensional inverse-scattering and Clifford analysis
- Quaternionic analysis and elliptic boundary value problems
- Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains
- Nonlinear-Evolution Equations of Physical Significance
- A Multidimensional Inverse-Scattering Method
- Scattering and inverse scattering for first order systems
- On a higher dimensional miuratransform
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Method for Solving the Korteweg-deVries Equation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Integrals of nonlinear equations of evolution and solitary waves
- A new approach for describing electromagnetic wave propagation in inhomogeneous media
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