부산대학교 도서관

For a supersymmetric generalized nonlinear Schrödinger (sgNLS) equation, a prolongation algebra L is determined via the super-version of Wahlquist–Estabrook prolongation method. L is successfully realized in terms of the simple Lie superalgebra A (1 , 1) , and a linear spectral problem is established for the sgNLS equation. Based on the linear spectral problem, a recursion operator is derived, and its factorization yields a Hamiltonian operator. These properties for sgNLS equation reduce to the properties of the case B supersymmetric NLS equation of Roelofs and Kersten (J Math Phys 33:2185–2206, 1992), so that the integrability of the latter is better understood. Moreover, an answer is provided to an open question addressed by Roelofs and Kersten. [ABSTRACT FROM AUTHOR]