On Integrability of a Third-Order Complex Nonlinear Wave Equation

DOI10.33581/1561-4085-2022-25-4-381-386zbMath1525.35069arXiv2205.09538MaRDI QIDQ6072316

Sergei Sakovich

Publication date: 13 October 2023

Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.09538

zbMATH Keywords

integrabilitynonlinear equationreductionssingularity analysis

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear higher-order PDEs (35G20)

Related Items (1)

A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy

Cites Work

• A note on the Painlevé property of coupled KdV equations
• Integrability of a Generalized Ito System: The Painlevé Test
• A search for integrable bilinear equations: The Painlevé approach
• Painlevé classification of coupled Korteweg–de Vries systems
• On Integrability of a (2+1)-Dimensional Perturbed KdV Equation
• Coupled KdV Equations of Hirota-Satsuma Type
• Symmetrically coupled higher-order nonlinear Schrödinger equations: singularity analysis and integrability
• Painleve analysis and Backlund transformations of Doktorov-Vlasov equations
• On zero-curvature representations of evolution equations
• A new integrable generalization of the Korteweg–de Vries equation
• Addendum to: "Coupled KdV Equations of Hirota-Satsuma Type" (J. Nonlin. Math. Phys. Vol. 6, No.3 (1999), 255262)

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