Symmetries and hierarchies of equations for the \((2+1)\)-dimensional N- wave interaction

DOI10.1016/0167-2789(89)90240-6zbMath0688.35079OpenAlexW1980505916MaRDI QIDQ1263741

K. Appert

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90240-6

zbMATH Keywords

symmetryinverse scattering transformLax pairhierarchy

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Integrable systems associated with the Schrödinger spectral problem in the plane ⋮ Hierarchies of nonlinear integrable equations and their symmetries in \(2+1\) dimensions ⋮ Forced (2 + 1)-dimensional discrete three-wave equation ⋮ Nonlinear constraints and soliton solutions of 1+2-dimensional three-wave equation ⋮ Darboux transformation and multi-soliton solutions of local/nonlocal N-wave interactions

Cites Work

• Solitons and infinite dimensional Lie algebras
• On a new hierarchy of symmetries for the Kadomtsev-Petviashvili equation
• Symmetries and constants of motion for new hierarchy of the KP equations
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• Symmetries and constants of motion for new AKNS hierarchies
• Symmetries and Integrability
• New set of symmetries of the integrable equations, Lie algebra and non-isospectral evolution equations. II. AKNS system
• Unnamed Item
• Unnamed Item