2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209885We 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 that the Camassa Holm equation is related to the KdV equation. In this paper we: (a) Use the bi-Hamiltonian structure to write down the first few conservation laws. (b) Derive a Lax pair. (c) Use the Lax pair to solve the initial value problem. (d) Analyze solitons.20 pages, 1 figureExactly Solvable and Integrable SystemsPattern Formation and Solitonstext