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

DOI10.1063/1.530813zbMath0818.35117OpenAlexW1984774946MaRDI QIDQ4327206

Filipe J. Romeiras

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530813

zbMATH Keywords

Hamiltonian systemLax representations

Mathematics Subject Classification ID

Cites Work

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• On Hamiltonian systems in two degrees of freedom with invariants quartic in the momenta of form p21p22⋅⋅⋅
• Nonlinear wave interactions in a complex Hamiltonian formalism
• Integrability of restricted multiple three-wave interactions
• Proof of integrability for five-wave interactions in a case with unequal coupling constants
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Construction of new integrable Hamiltonians in two degrees of freedom
• The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability
• Coupling of surface and internal gravity waves: a mode coupling model
• Spatiotemporal chaos in the nonlinear three-wave interaction
• The Toda lattice. II. Existence of integrals
• Integrals of nonlinear equations of evolution and solitary waves
• Necessary condition for the existence of algebraic first integrals

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