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arXiv · q-alg/9612006

Generalized KdV Equation for Fluid Dynamics and Quantum Algebras

A. Ludu·R. A. Ionescu·W. Greiner
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Abstract

We generalize the non-linear one-dimensional equation of a fluid layer for any depth and length as an infinite order differential equation for the steady waves. This equation can be written as a q-differential one, with its general solution written as a power series expansion with coefficients satisfying a nonlinear recurrence relation. In the limit of long and shallow water (shallow channels) we reobtain the well known Korteweg-de-Vries equation together with its single-soliton solution.

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BibTeXRIS

A. Ludu, R. A. Ionescu, W. Greiner. 1996-12-03. Generalized KdV Equation for Fluid Dynamics and Quantum Algebras. https://doi.org/10.1007/bf02058238

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