The inverse scattering transform for the differential-difference Kadomtsev-Petviashvili equation

DOI10.1063/1.4933221zbMath1325.37044OpenAlexW2143440859WikidataQ115333200 ScholiaQ115333200MaRDI QIDQ3450566

Shuhua Su, Qi Li, Jian-Bing Zhang, Ming-Hui Li

Publication date: 6 November 2015

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

Full work available at URL: https://doi.org/10.1063/1.4933221

zbMATH Keywords

inverse probleminverse scattering transformJost functionKadomtsev-Petviashvili equationDBAR problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Numerical methods for discrete and fast Fourier transforms (65T50) Discrete version of topics in analysis (39A12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Numerical methods for difference equations (65Q10)

Related Items (3)

Extended KP equation and solutions with special properties ⋮ Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach ⋮ New solutions to the differential-difference KP equation

Cites Work

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