On the variable-coefficient Harry Dym equation with a self-consistent source
Abstract
We consider the variable-coefficient Harry Dym equation with the self-consistent source.The source consists of the variable-coefficient term and the combination of the eigenfunctions of the corresponding spectral problem for the string equation which has not spectral singularities.Assuming that the spectral problem has simple eigenvalues we apply the inverse scattering transform (IST) method and the (A, B, C) triplet technique for providing the explicit form of the multisoliton solution.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Advanced Mathematical Physics Problems
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Azerbaijan Journal of Mathematics
- Issue
- 01
- Pages
- 57–57
- Publication date
- 1 January 2026