EXACT TRAVELLING WAVE SOLUTIONS FOR NONLINEAR SCHR&#214;DINGER EQUATION WITH VARIABLE COEFFICIENTS

Xiuying Liu

doi:10.11948/2017096

2017 Volume 7 Issue 4

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Xiuying Liu. EXACT TRAVELLING WAVE SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATION WITH VARIABLE COEFFICIENTS[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1586-1597. doi: 10.11948/2017096

Citation:

Xiuying Liu. EXACT TRAVELLING WAVE SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATION WITH VARIABLE COEFFICIENTS[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1586-1597. doi: 10.11948/2017096

EXACT TRAVELLING WAVE SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATION WITH VARIABLE COEFFICIENTS

Xiuying Liu

Department of Mathematics, Heze University, Heze 274000, China

Fund Project:

Abstract

Abstract

In this paper, two nonlinear Schrödinger equations with variable coefficients in nonlinear optics are investigated. Based on travelling wave transformation and the extended (G'/G)-expansion method, exact travelling wave solutions to nonlinear Schrödinger equation with time-dependent coefficients are derived successfully, which include bright and dark soliton solutions, triangular function periodic solutions, hyperbolic function solutions and rational function solutions.
- Nonlinear Schrödinger equation /
- travelling wave solution /
- extended(G'/G)-expansion method
MSC: 35C07;35Q41

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References

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