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Coupled KdV equations derived from atmospherical dynamics

S. Y. Lou·Bin Tong·Heng-chun Hu·Xiao-yan Tang
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Abstract

Some types of coupled Korteweg de-Vries (KdV) equations are derived from an atmospheric dynamical system. In the derivation procedure, an unreasonable $y$-average trick (which is usually adopted in literature) is removed. The derived models are classified via Painlevé test. Three types of $τ$-function solutions and multiple soliton solutions of the models are explicitly given by means of the exact solutions of the usual KdV equation. It is also interesting that for a non-Painlevé integrable coupled KdV system there may be multiple soliton solutions.

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S. Y. Lou, Bin Tong, Heng-chun Hu, Xiao-yan Tang. 2005-08-22. Coupled KdV equations derived from atmospherical dynamics. https://doi.org/10.1088/0305-4470%2F39%2F3%2F005

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