Proof of integrability for five-wave interactions in a case with unequal coupling constants

DOI10.1088/0305-4470/21/10/002zbMath0654.76011OpenAlexW2086165346MaRDI QIDQ3801189

Frank Verheest

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1088/0305-4470/21/10/002

zbMATH Keywords

first integralPainlevé analysispolynomial first integralsComplete integrabilitydouble three-wave interactionintegral of degree sixManley-Rowe invariantsYoshida-Kovalevskaya approach

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (1)

Double three-wave interaction of four waves: Lax representations and exact solutions

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