1987•Journal of Physics A Mathematical and GeneralRequires access

The Painleve property, Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation

B. V. Baby

Abstract

Using Painleve property analysis the authors obtained the Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation, u t +6uu x +u xxx +f(t)u=0. The exact form of f(t) for which the system is completely integrable is reported.

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Key concepts: Lax pair, Korteweg–de Vries equation, Integrable system, Recursion (computer science), Transformation (genetics), Operator (biology), Mathematical physics, Mathematics