Ankiewicz, Adrian; Akhmediev, Nail
We consider an extended nonlinear Schrödinger equation with higher-order odd and even terms with
independent variable coefficients. We demonstrate its integrability, provide its Lax pair, and, applying
the Darboux transformation, present its first and second order soliton solutions. The equation and its
solutions have two free parameters. Setting one of these parameters to zero admits two limiting cases:
the Hirota equation on the one hand and the Lakshmanan–Porsezian–Daniel (LPD) equation...[Show more]
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