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Exact Traveling Wave Solutions for Higher Order Nonlinear Schrödinger Equations in Optics by Using the (G'/G, 1/G)-expansion Method
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@Article{JPDE-28-332,
author = {Zayed , Elsayed M. E. and Alurrfi , K. A. E.},
title = {Exact Traveling Wave Solutions for Higher Order Nonlinear Schrödinger Equations in Optics by Using the (G'/G, 1/G)-expansion Method},
journal = {Journal of Partial Differential Equations},
year = {2015},
volume = {28},
number = {4},
pages = {332--357},
abstract = { The propagation of the optical solitons is usually governed by the nonlinear Schrödinger equations. In this article, the two variable (G'/G, 1/G)-expansion method is employed to construct exact traveling wave solutions with parameters of two higher order nonlinear Schrödinger equations describing the propagation of femtosecond pulses in nonlinear optical fibers. When the parameters are replaced by special values, the well-known solitary wave solutions of these equations rediscovered from the traveling waves. Thismethod can be thought of as the generalization of well-known original (G'/G)-expansion method proposed by M. Wang et al. It is shown that the two variable (G'/G, 1/G)-expansion method provides a more powerful mathematical tool for solving many other nonlinear PDEs in mathematical physics.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v28.n4.4},
url = {http://global-sci.org/intro/article_detail/jpde/5120.html}
}
TY - JOUR
T1 - Exact Traveling Wave Solutions for Higher Order Nonlinear Schrödinger Equations in Optics by Using the (G'/G, 1/G)-expansion Method
AU - Zayed , Elsayed M. E.
AU - Alurrfi , K. A. E.
JO - Journal of Partial Differential Equations
VL - 4
SP - 332
EP - 357
PY - 2015
DA - 2015/12
SN - 28
DO - http://doi.org/10.4208/jpde.v28.n4.4
UR - https://global-sci.org/intro/article_detail/jpde/5120.html
KW - The two variable (G'⁄G
KW - 1⁄G)-expansion method
KW - Schrödinger equations
KW - exact traveling wave solutions
KW - solitary wave solutions
AB - The propagation of the optical solitons is usually governed by the nonlinear Schrödinger equations. In this article, the two variable (G'/G, 1/G)-expansion method is employed to construct exact traveling wave solutions with parameters of two higher order nonlinear Schrödinger equations describing the propagation of femtosecond pulses in nonlinear optical fibers. When the parameters are replaced by special values, the well-known solitary wave solutions of these equations rediscovered from the traveling waves. Thismethod can be thought of as the generalization of well-known original (G'/G)-expansion method proposed by M. Wang et al. It is shown that the two variable (G'/G, 1/G)-expansion method provides a more powerful mathematical tool for solving many other nonlinear PDEs in mathematical physics.
Elsayed M. E. Zayed & K. A. E. Alurrfi. (2019). Exact Traveling Wave Solutions for Higher Order Nonlinear Schrödinger Equations in Optics by Using the (G'/G, 1/G)-expansion Method.
Journal of Partial Differential Equations. 28 (4).
332-357.
doi:10.4208/jpde.v28.n4.4
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