Abstract:
We use the inverse spectral problem method to integrate the Korteweg–de Vries equation with a self-consistent source in the class of periodic functions.
Keywords:
Sturm–Liouville operator, spectral data, system of Dubrovin equations, Korteweg–de Vries equation with a self-consistent source.
Citation:
A. B. Khasanov, A. B. Yakhshimuratov, “The Korteweg–de Vries equation with a self-consistent source in the class of periodic functions”, TMF, 164:2 (2010), 214–221; Theoret. and Math. Phys., 164:2 (2010), 1008–1015