An inverse scattering transform for the Davey-Stewartson II equations. II

DOI10.1006/jmaa.1994.1145zbMath0841.35105OpenAlexW2513270827MaRDI QIDQ1329328

V. Pereyra

Publication date: 22 August 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1145

zbMATH Keywords

inverse scattering transforminverse problemsDavey-Stewartson II equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (17)

Reconstruction of Less Regular Conductivities in the Plane ⋮ Action of a scattering map on weighted Sobolev spaces in the plane ⋮ Mapping Properties of the Nonlinear Fourier Transform in Dimension Two ⋮ Long-time decay of the solutions of the Davey-Stewartson II equations ⋮ Large \(\boldsymbol{|k|}\) Behavior for the Reflection Coefficient for Davey-Stewartson II Equations ⋮ Large ∣k∣ Behavior of Complex Geometric Optics Solutions to d‐bar Problems ⋮ Estimates for a family of multi-linear forms ⋮ On the stability of certain spin models in \(2+1\) dimensions ⋮ Inverse Scattering and Global Well-Posedness in One and Two Space Dimensions ⋮ Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions ⋮ A nonlinear Plancherel theorem with applications to global well-posedness for the defocusing Davey-Stewartson equation and to the inverse boundary value problem of Calderón ⋮ Stability of the inverse conductivity problem in the plane for less regular conductivities ⋮ IST Versus PDE: A Comparative Study ⋮ The inverse problem for elliptic equations from Dirichlet to Neumann map in multiply connected domains ⋮ Numerical scattering for the defocusing Davey–Stewartson II equation for initial data with compact support ⋮ Solution of the initial value problem for the focusing Davey-Stewartson II system ⋮ A numerical approach to Blow-up issues for Davey-Stewartson II systems

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