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The Theory of Differential Equations (vol. 6): Part IV: Partial Differential Equations

The Theory of Differential Equations (vol. 6): Part IV: Partial Differential Equations

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Cantwell Introduction to Symmetry Analysis p. 3, PDF p. 47:

In his 1906 treatise on The Theory of Differential Equations [vols. 5 & 6] Andrew Forsyth devotes several chapters to Lie groups and Bäcklund transformations. It is a fact, however, that shortly thereafter, Lie’s ideas fell into obscurity and remained so until soon after World War II.

Grattan-Guinness PDF p. 691fn1 says: "On Ampère's theory [of general solutions to PDEs], see Forsyth Equations , 6 (1906), chs. 12, 16 and 17 passim."