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Symmetric Lucas Function Solutions of the Stochastic KdV Equation

E. A-B. Abdel-Salam, Z. I. A. Al-Muhiameed

Abstract


With the help of white noise functional approach and variable coefficient Lucas Riccati method, a Wick type generalized stochastic KdV equation is researched. We construct a group of more general formal exact solutions of symmetrical hyperbolic Lucas functions via the approach and Hermite transformation for the stochastic KdV equation in the white noise environment. As some special examples, some analytic solutions can degenerate into these solutions reported in open literatures.

Keywords


Wick-type stochastic KdV equation; symmetric Lucas white noise functional solutions; Hermite transform; Lucas Riccati method.

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