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A new perturbative approach to nonlinear problems
C. M. Bender, Kimball A. Milton, Stephen S. Pinsky, L. M. Simmons
Source abstract
A recently proposed perturbative technique for quantum field theory consists of replacing nonlinear terms in the Lagrangian such as φ4 by (φ2)1+δ and then treating δ as a small parameter. It is shown here that the same approach gives excellent results when applied to difficult nonlinear differential equations such as the Lane–Emden, Thomas–Fermi, Blasius, and Duffing equations.
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