C-Integrable nonlinear partial differential equations in N+1 dimensions

DOI10.1063/1.529973zbMath0754.35166OpenAlexW1968773246MaRDI QIDQ3992322

Francesco Calogero

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1063/1.529973

zbMATH Keywords

Burgers equationchange of variablesEckhaus equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

“Riemann equations” in bidifferential calculus, Integrable nonlinear evolution equations and dynamical systems in multidimensions, C-integrable nonlinear partial differential equations. III, Nonlinear Schrödinger equations within the Nelson quantization picture., On integration of a multidimensional version of n-wave type equation, New multidimensional partially integrable generalization of S-integrable N-wave equation, Gauge equivalence among quantum nonlinear many body systems, On the relationship between nonlinear equations integrable by the method of characteristics and equations associated with commuting vector fields, Lower-dimensional reductions of GL(M,C) self-dual Yang Mills equation: Solutions with break of wave profiles, 1+1 solvable relativistic field models, Universal C-integrable nonlinear partial differential equation in N+1 dimensions

Cites Work

• C-integrable nonlinear partial differentiation equations. I
• C-integrable nonlinear PDEs. II
• A class of reducible systems of quasi-linear partial differential equations
• On a quasi-linear parabolic equation occurring in aerodynamics