Supersymmetric extension of the Korteweg–de Vries equation
- 1 November 1988
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 29 (11) , 2499-2506
- https://doi.org/10.1063/1.528090
Abstract
It is shown that among a one‐parameter family of supersymmetric extensions of the Korteweg–de Vries equation, there is a special system that has an infinite number of conservation laws, which can be formulated in the second Hamiltonian structure, and which has a nontrivial Lax representation. Its modified version is also discussed.Keywords
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