Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations

Hierarchy of the perturbed nonlinear Schrödinger equations is considered. Nonlinear differential equations of this hierarchy contain higher orders and can be used for description of highly dispersive optical solutions. A new approach for finding solitary wave solutions of high-order nonlinear differ...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 371; p. 124972
Main Author: Kudryashov, Nikolay A.
Format: Journal Article
Language:English
Published: Elsevier Inc 15.04.2020
Subjects:
Exact solution
Highly dispersive soliton
Nonlinear differential equation
Nonlinear Schrödiner equation
Optical soliton
Highly dispersive soliton
Nonlinear differential equation
Nonlinear Schrödiner equation
Optical soliton
Exact solution
ISSN:0096-3003
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Summary:Hierarchy of the perturbed nonlinear Schrödinger equations is considered. Nonlinear differential equations of this hierarchy contain higher orders and can be used for description of highly dispersive optical solutions. A new approach for finding solitary wave solutions of high-order nonlinear differential equations is presented. This approach allows us to significantly simplify symbolic calculations. The main idea of the method is that we use expressions of the dependent variable and its derivatives in the differential equation the polynomial form of the solitary wave. We find optical solitons with high dispersion order for nonlinear perturbed Schrodinger equations of the fourth, sixth, eighth, tenth and twelfth orders.
ISSN:0096-3003
DOI:10.1016/j.amc.2019.124972