Necessary and sufficient conditions for the existence of a Lagrangian. The case of quasi-linear field equations

DOI10.1016/0003-4916(80)90322-XzbMath0446.70023MaRDI QIDQ1146029

Hideki Kamo, Reiji Sugano

Publication date: 1980

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

zbMATH Keywords

necessary and sufficient conditionssoliton equationsvector fieldsquasi-linear equationexterior derivativeambiguities due to integral constantsexistence of a Lagrangianquasi- linear field equations

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Lagrange's equations (70H03) Hamiltonian and Lagrangian mechanics (70H99) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (4)

Cohomology of horizontal forms ⋮ Cauchy-Riemann equations and \(J\)-symplectic forms ⋮ Variational principles for nonpotential operators ⋮ Variational character of the Cauchy-Riemann equations

Cites Work

• Necessary and sufficient conditions for the existence of a Lagrangian in field theory. III: Generalized analytic representations of tensorial field equations
• Differential forms. With applications to the physical sciences
• Unnamed Item

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