article · Journal of Physics A Mathematical and General · 1987
The Painleve property, Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation
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Abstract
Using Painleve property analysis the authors obtained the Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation, ut+6uux+uxxx+f(t)u=0. The exact form of f(t) for which the system is completely integrable is reported.
Cite this paper
Baby, B. V. (1987). The Painleve property, Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation. Journal of Physics A Mathematical and General, 20(9), L555–L558. https://doi.org/10.1088/0305-4470/20/9/001
Baby, B. V. “The Painleve property, Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation.” Journal of Physics A Mathematical and General, vol. 20, no. 9, 1987, pp. L555–L558, https://doi.org/10.1088/0305-4470/20/9/001.
Baby, B. V. 1987. “The Painleve property, Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation.” Journal of Physics A Mathematical and General 20 (9): L555–L558. https://doi.org/10.1088/0305-4470/20/9/001.
Baby, B.V. (1987) ‘The Painleve property, Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation’, Journal of Physics A Mathematical and General, 20(9), pp. L555–L558. Available at: https://doi.org/10.1088/0305-4470/20/9/001.
@article{baby1987painleve,
title = {{The Painleve property, Lax pair, auto-Backlund transformation and recursion operator of a perturbed Korteweg-de Vries equation}},
author = {Baby, B. V.},
journal = {Journal of Physics A Mathematical and General},
volume = {20},
number = {9},
pages = {L555--L558},
year = {1987},
doi = {10.1088/0305-4470/20/9/001}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.