New C-integrable and S-integrable systems of nonlinear partial differential equations

DOI10.1080/14029251.2017.1287387zbMath1420.35306OpenAlexW2584277281WikidataQ115295507 ScholiaQ115295507MaRDI QIDQ5231061

Francesco Calogero

Publication date: 29 August 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2017.1287387

zbMATH Keywords

C-integrable PDEsS-integrable PDEssystems of integrable partial differential equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

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Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations ⋮ On solutions to a novel non-evolutionary integrable 1 + 1 PDE ⋮ Time-dependent polynomials with \textit {one double} root, and related new solvable systems of nonlinear evolution equations ⋮ Higher-dimensional integrable deformations of the modified KdV equation ⋮ Time-dependent polynomials with one multiple root and new solvable dynamical systems ⋮ On a \(C\)-integrable equation for second sound propagation in heated dielectrics

Cites Work

• New Solvable Variants of the Goldfish Many-Body Problem
• Universal C-integrable nonlinear partial differential equation in N+1 dimensions
• Method for Solving the Korteweg-deVries Equation
• A new solvable many-body problem of goldfish type
• Solvable nonlinear evolution PDEs in multidimensional space involving trigonometric functions

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