Explicitly time-dependent constants/symmetries of the higher-order KP equations

DOI10.1063/1.528352zbMath0693.35138OpenAlexW2026947849MaRDI QIDQ3468004

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528352

zbMATH Keywords

completely integrable systemKP equationstime-dependent constants

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras ⋮ Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation ⋮ Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation ⋮ Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's

Cites Work

• The Kadomtsev-Petviashvili equations and fundamental string theory
• Degenerative dispersion laws, motion invariants and kinetic equations
• On a new hierarchy of symmetries for the Kadomtsev-Petviashvili equation
• Symmetries of the higher-order KP equations
• A theorem about Hamiltonian systems
• Constants and pseudo-constants of the Kadomtsev-Petviashvili equation

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