Conservation laws and normal forms of evolution equations

  title={Conservation laws and normal forms of evolution equations},
  author={Roman O. Popovych and Artur Sergyeyev},
  journal={Physics Letters A},

Simplest potential conservation laws of linear evolution equations

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Recursion operators are found for two members of the family investigated and a Lax pair is obtained, proving its complete integrability, and peakon-type solutions are also found for a certain choice of the parameters.

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