AKNS Formalism and Exact Solutions of KdV and Modified KdV Equations with Variable-Coefficients

We apply the AKNS hierarchy to derive the generalized KdV equation andthe generalized modified KdV equation with variable-coefficients. We system-atically derive new exact solutions for them. The solutions turn out to beexpressible in terms of doubly-periodic Jacobian elliptic functions.

Перевод пока недоступен