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Higher‐Order Equations of the KdV Type are Integrable

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  • V. Marinakis

Abstract

We show that a nonlinear equation that represents third‐order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with an integrable equation which has recently appeared in the literature. We also discuss the integrability of both second‐ and third‐order approximations of additional cases.

Suggested Citation

  • V. Marinakis, 2010. "Higher‐Order Equations of the KdV Type are Integrable," Advances in Mathematical Physics, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlamp:v:2010:y:2010:i:1:n:329586
    DOI: 10.1155/2010/329586
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    References listed on IDEAS

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    1. Qiao, Zhijun & Liu, Liping, 2009. "A new integrable equation with no smooth solitons," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 587-593.
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