Complete integrability of the Kadomtsev-Petviashvili equations in \(2+1\) dimensions

DOI10.1016/0167-2789(86)90191-0zbMath0615.35072OpenAlexW1970278451MaRDI QIDQ1820935

Zhuhan Jiang, R. K. Bullough

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90191-0

zbMATH Keywords

Korteweg-de Vries equationKadomtsev-Petviashvili equationscomplete integrabilitynonlocal Riemann-Hilbert problem

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Recursion operators and bi-Hamiltonian structures in multidimensions. I ⋮ Scattering data for the nonstationary Dirac equation ⋮ Integrability and a new breed of solitons of an NLS type equation in \(2+1\) dimensions ⋮ Hamiltonian interpretation of the method of the inverse problem for the Davey-Stewartson equation ⋮ Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation

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
• On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
• The Generalised Marchenko Equation and the Canonical Structure of the A.K.N.S.-Z.S. Inverse Method
• Method for Solving the Korteweg-deVries Equation

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