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Many new exact solutions to the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms using three different techniques

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Abstract Many new types of Jacobi elliptic function solutions, solitons and other solutions to the higher-order nonlinear Schrodinger equation with derivative non-Kerr nonlinear terms have been found using three mathematical… Click to show full abstract

Abstract Many new types of Jacobi elliptic function solutions, solitons and other solutions to the higher-order nonlinear Schrodinger equation with derivative non-Kerr nonlinear terms have been found using three mathematical techniques, namely, the special kind of (G′/G)-expansion method, the ϕ6-model expansion method and the new mapping method. This equation could be a model equation of pulse propagation beyond ultrashort range in optical communication systems. This model is photonic crystal fiber (PCF). Comparing our new results with the well-known results are given. Also, we compare the results yielding from the three methods with each other.

Keywords: solutions higher; higher order; equation derivative; many new; equation; order nonlinear

Journal Title: Optik
Year Published: 2017

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