On a new class of completely integrable nonlinear wave equations. I. Infinitely many conservation laws

DOI10.1063/1.526530zbMath0563.35050OpenAlexW1991542475MaRDI QIDQ3676550

Yavuz Nutku

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526530

zbMATH Keywords

conservation lawshodograph transformationBäcklund transformationssymplectic structureRiemann invariantsnonlinear wave equationscharacteristics

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (10)

Hamiltonian structures for systems of hyperbolic conservation laws ⋮ Multi-Lagrangians for integrable systems ⋮ Canonical and noncanonical Hamiltonian operator inference ⋮ Canonical structures for dispersive waves in shallow water ⋮ Bi-Hamiltonian formulations of the Bateman equation ⋮ On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure ⋮ Diagonalization and Hamiltonian structures of hyperbolic systems ⋮ Hamiltonian structures and conservation laws of the Belov-Chaltikian lattice hierarchy ⋮ ON THE INTEGRABILITY OF A CLASS OF MONGE–AMPÈRE EQUATIONS ⋮ Multi-Hamiltonian structure of equations of hydrodynamic type

Cites Work

• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Canonical formulation of shallow water waves
• On the nature of the Gardner transformation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Conservation laws for shallow water waves on a sloping beach

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