A variable coefficient Korteweg–de Vries equation: Similarity analysis and exact solution. II
- 1 November 1986
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 27 (11) , 2644-2646
- https://doi.org/10.1063/1.527283
Abstract
A Korteweg–de Vries (KdV) equation with time-dependent coefficients is studied in this paper. The similarity transformation for this system is investigated and an exact solution in a particular case is obtained. The Ablowitz–Ramani–Segur (ARS) conjecture is used to identify the integrability of the system. It is found that in some special cases the system may be integrable.Keywords
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