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29 March 2024
 
  » arxiv » 0904.3981

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Mixed heavenly equation: a new integrable multi-Hamiltonian system
M. B. Sheftel ; D. Yazici ;
Date 27 Apr 2009
AbstractIn the recent paper by one of the authors (MBS) and A. A. Malykh on the classification of second-order PDEs with four independent variables that possess partner symmetries (arXiv:0904.2909 [math-ph]), mixed heavenly equation appears as one of the canonical equations admitting partner symmetries. Here for the mixed heavenly equation, formulated in a two-component form, we present a Lax pair of Olver-Ibragimov-Shabat type and obtain its multi-Hamiltonian structure. Thus, we discover a new integrable Hamiltonian system.
Source arXiv, 0904.3981
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