Błażej M. Szablikowski, Maciej Błaszak, Krzysztof Marciniak
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引用次数: 0
Abstract
In this article, we investigate stationary coupled Korteweg–de Vries (cKdV) systems and prove that every -field stationary cKdV system can be written, after a careful reparameterization of jet variables, as a classical separable Stäckel system in different ways. For each of these parameterizations, we present an explicit map between the jet variables and the separation variables of the system. Finally, we show that each pair of Stäckel representations of the same stationary cKdV system, when considered in the phase space extended by Casimir variables, is connected by an appropriate finite-dimensional Miura map, which leads to an -Hamiltonian formulation for the stationary cKdV system.
期刊介绍:
Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.