Prolongation algebras and Hamiltonian operators for peakon equations

By Andrew N. W. Hone, Jing Ping Wang. 2003

162 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3efe82f97a127ed8cd6dbc87144206a6c17dd666

How researchers see this paper

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In Geometry and Topology

1. Peter G. L. Leach
2. S. Andriopoulos

In Statistical and Nonlinear Physics

1. Peter G. L. Leach
2. S. Andriopoulos

Citations in the corpus

• The Ermakov equation: A commentary (2008, background): “Further applications are found in Cosmology [39–41, 75, 94, 95, 97, 99, 100], partial differential equations of Mathematical Physics such as the Korteweg – de Vries and Camassa – Holm equations [19, 20, 22, 42–46], Elasticity [77–79, 94, 99], Quantum Mechanics [48] and nonlinear systems in general [”
• Inverse scattering transform for the Degasperis–Procesi equation (2010, unknown): “Equation (DP) admits the Lax pair formulation [12, 33]   φxxx − φx − qζ 3φ = 0, φt − 1 ζ 3 φxx + uφx − uxφ = 0, (2.”