Spectral transform for nonlinear evolutions in N-dimensional spaces

DOI10.1088/0266-5611/8/2/007zbMath0757.35079OpenAlexW2023626437MaRDI QIDQ4009115

P. C. Sabatier

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1088/0266-5611/8/2/007

zbMATH Keywords

dressing method\(\overline{\partial}\)-methoddirect linearizing methodsolutions of nonlinear systems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (7)

New features of soliton dynamics in 2+1 dimensions ⋮ Soliton solutions of the Hamiltonian DSI and DSIII equations ⋮ Constructing nonlinear integrable equations by direct linearization ⋮ In memoriam Pierre Sabatier ⋮ Semi-rational solutions of the third-type Davey-Stewartson equation ⋮ Localized coherent structures and integrability in a generalized \((2+1)\)-dimensional nonlinear Schrödinger equation ⋮ Multidimensional localized solitons.

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