Connection between the Kadomtsev-Petviashvili and Johnson equations

DOI10.1007/BF01099192zbMath0673.35092OpenAlexW2026326883WikidataQ57936881 ScholiaQ57936881MaRDI QIDQ1120752

V. D. Lipovskij, Aleksandr Olegovich Smirnov, Vladimir B. Matveev

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01099192

zbMATH Keywords

Hamiltonian structureKadomtsev-Petviashvili equationrapidlydecreasing initial dataJohnson equation

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

Integrable nonlinear evolution equations with time-dependent coefficients ⋮ On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation ⋮ Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation ⋮ Cylindrical Kadomtsev-Petviashvili equation: old and new results

Cites Work

• Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
• The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
• Poisson structure for the KdV equation
• On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
• Water waves and Korteweg–de Vries equations
• The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems

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