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Coupled Korteveg–de Vries hierarchy with sources and its Newton decomposition (1997)

Marciniak, Krzysztof

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 38 (1997), S. 5739-5755

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: A Lax representation for the equations of the coupled Korteveg–de Vries (cKdV) hierarchy with sources is derived from the energy-dependent Schrödinger spectral problem. It is proved that each stationary flow of the cKdV hierarchy with sources can be reparametrized as a system of Newton equations with velocity-independent forces. These Newton systems have a Lagrangian formulation and are completely integrable. The developed decomposition techniques lead to construction of new infinite families of integrable classical mechanical systems. © 1997 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.532163

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