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2 votes

Integrability - conditions of lax pairs

In addition to the answer by @issoloroap, the article Prolongation structures of nonlinear evolution equations by Allan Fordy (here is the Mathscinet link and here is its first page on Google books) e …
just-learning's user avatar
1 vote

Lax pairs for linear PDEs

The term Lax pair is fairly often used in a broader sense as a pair of linear equations (not necessarily of the form you mention, i.e., $L\phi=\lambda\phi$ and $\dot{\phi}=B\phi$) whose compatibility …
just-learning's user avatar