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reductions of partial differential equations

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1: 32.13 Reductions of Partial Differential Equations
§32.13 Reductions of Partial Differential Equations
2: Peter A. Clarkson
 Kruskal, he developed the “direct method” for determining symmetry solutions of partial differential equations in New similarity reductions of the Boussinesq equation (with M. …
3: 19.29 Reduction of General Elliptic Integrals
§19.29 Reduction of General Elliptic Integrals
§19.29(i) Reduction Theorems
§19.29(ii) Reduction to Basic Integrals
The reduction of I ( 𝐦 ) is carried out by a relation derived from partial fractions and by use of two recurrence relations. …Partial fractions provide a reduction to integrals in which 𝐦 has at most one nonzero component, and these are then reduced to basic integrals by the recurrence relations. …