New features of Backlund and Darboux transformations in 2 + 1 dimensions

DOI10.1088/0266-5611/7/1/005zbMath0726.58042OpenAlexW1984723789MaRDI QIDQ3350349

A. K. Pogrebkov, M. C. Polivanov, M. Boiti, F. Pempinelli

Publication date: 1991

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/7/1/005

zbMATH Keywords

dressing methodBäcklund transformationsDarboux transformationstime-dependent Schrödinger equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

On form-preserving transformations for the time-dependent Schrödinger equation ⋮ The dressing method and nonlocal Riemann-Hilbert problems ⋮ Some new methods and results in the theory of \((2+1)\)-dimensional integrable equations ⋮ Relations between hierarchies and inverse scattering ⋮ Towards an inverse scattering theory for two-dimensional nondecaying potentials ⋮ Consistent Riccati Expansion for Integrable Systems

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