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

Abstract

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.

Identifiers

DOI

10.18052/www.scipress.com/ijarm.6.32

Citations and references