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On the Variable-coefficient Harry Dym Equation With a Self-consistent Source
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DOI：10.59849/2218-6816.2026.1.57.png)
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Abstract
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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.
Keywords:
Harry Dym equation
inverse scattering method
scattering data
variable-coefficient term
self-consistent source
triplet matrix
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A
IF:
0.6
Papers:
17
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