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On a novel integrable generalization of the nonlinear Schrödinger equation
We consider an integrable generalization of the nonlinear Schrödinger (NLS) equation that was recently derived by one of the authors using bi-Hamiltonian methods. This equation is related to the NLS equation in the same way as the Camassa–Holm equation is related to the KdV equation. In this paper we (a) …