Handbook of mathematics for engineers and scienteists part 106 ppsx
... equations with a composite argument, it is assumed that ϕ(x) const and ψ(t) const. 704 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS TABLE 15.6 Nonlinear Klein–Gordon equations ∂ tt w – ∂ xx w = F(w) ... Splitting method. The substitution of the expression w = F(z), z = ϕ(x)+ψ(t)(15.6.4.1) into a nonlinear partial differential equation sometimes leads to functional differential equations of the fo...
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