Universality and integrability of the nonlinear evolution PDE’s describing N-wave interactions

DOI10.1063/1.528585zbMath0692.35100OpenAlexW2092619355MaRDI QIDQ3034210

Francesco Calogero

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528585

zbMATH Keywords

nonlinear evolution equationsN-wave interactions

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

C-integrable nonlinear partial differentiation equations. I ⋮ Approximate particle-like solutions for a nonlinear relativistic scalar complex field model in \(3+1\) dimensions ⋮ EXACT SOLITON SOLUTIONS FOR CONFORMABLE FRACTIONAL SIX WAVE INTERACTION EQUATIONS BY THE ANSATZ METHOD ⋮ Nonresonant interacting waves for the nonlinear Klein-Gordon equation in three-dimensional space ⋮ Boundary value problems for the \(N\)-wave interaction equations ⋮ Solutions of certain integrable nonlinear PDE’s describing nonresonant N-wave interactions ⋮ Novel solution of the system describing the resonant interaction of three waves ⋮ Exact solutions of the 3-wave resonant interaction equation

Cites Work

• Nonlinear evolution equations, rescalings, model PDEs and their integrability: II
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
• The evolution partial differential equation u t=u x x x+3(u x x u2 +3u2x u)+3u x u4