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On exact solutions of the nonlinear Schrödinger equations in optical fiber. (English) Zbl 1049.35169

Summary: With the help of symbolic computation, the projective Riccati equations method is extended to find some new exact solutions of the nonlinear Schrödinger model with varying dispersion, nonlinearity, and gain or absorption. As a result, four families of Soliton-like solutions in these models are obtained.

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
35Q51 Soliton equations
35Q60 PDEs in connection with optics and electromagnetic theory
78A60 Lasers, masers, optical bistability, nonlinear optics
35-04 Software, source code, etc. for problems pertaining to partial differential equations

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References:

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