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Supersymmetric extension of the Korteweg–de Vries equation
Pierre Mathieu
Source 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.
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