An example of ∂̄ problem arising in a finite difference context: Direct and inverse problem for the discrete analog of the equation ψx x+uψ=σψy

DOI10.1063/1.527618zbMath0655.35058OpenAlexW2059827235MaRDI QIDQ3801975

Mark J. Ablowitz, S. Chitlaru-Briggs, Orlando Ragnisco, Paolo Maria Santíni

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527618

zbMATH Keywords

spectral datatime evolutionspectral problemdifferential-difference equationsdiscrete analogdirect and inverse problem\({\bar \partial }\) problem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Partial functional-differential equations (35R10) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
• On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
• Scattering and inverse scattering for first order systems
• The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem
• Integrable three-dimensional lattices
• On the Toda Lattice. II: Inverse-Scattering Solution

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