Classification of Fully Nonlinear Integrable Evolution Equations of Third Order
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A fully nonlinear family of evolution equations is classified. Nine new integrable equtions are found, and all of them admit a differential substitution into the Korteweg-de Vries or Krichever-Novikov equations. One of the equations contains hyperelliptic functions, but it is transformable into the Krichever-Novikov equation by a differetial substitution that only involves elliptic functions.
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TY - JOUR AU - Rafael Hernández Heredero PY - 2005 DA - 2005/11/01 TI - Classification of Fully Nonlinear Integrable Evolution Equations of Third Order JO - Journal of Nonlinear Mathematical Physics SP - 567 EP - 585 VL - 12 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.4.10 DO - 10.2991/jnmp.2005.12.4.10 ID - Heredero2005 ER -