Classification of integrable hydrodynamic chains and generating functions of conservation laws

2006/03/31 by M. V. Pavlov, Maxim V. Pavlov · 1 citation
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Hydrocarbon exploration and reservoir analysis #Nonlinear Waves and Solitons #Seismic Imaging and Inversion Techniques #nlin.SI

paper · pdf · doi:10.1088/0305-4470/39/34/014

arxiv created 2006/03/31 · openalex publication_date 2006/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A new approach to classification of integrable hydrodynamic chains is established. Generating functions of conservation laws are classified by the method of hydrodynamic reductions. The N parametric family of explicit hydrodynamic reductions allows us to reconstruct corresponding hydrodynamic chains. Many new hydrodynamic chains are found.

Citations

• The Hamiltonian approach in classification and integrability of hydrodynamic chains
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• The Kupershmidt hydrodynamic chains and lattices

Cited by

• Classification of integrable Vlasov-type equations