Integration of the extended fifth-order Korteweg-de Vries equation with time-dependent coefficients and a self-consistent source in the class of rapidly decreasing functions
In this article, the problem of integrating the extended Korteweg-de Vries equation
with time-dependent coefficients and a self-consistent source in the class of rapidly decreasing func-
tions using the inverse scattering method for the self-adjoint Sturm- Liouville operator is studied.
Furthermore, an integration algorithm based on this method is developed, and an illustrative exam-
ple is solved using the proposed algorithm.
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