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2024 | OriginalPaper | Chapter

Explicit Solutions of the Nonlinear Schrödinger-Type Equation

Authors : Arailym Syzdykova, Gaziz Kudaibergenov

Published in: New Trends in the Applications of Differential Equations in Sciences

Publisher: Springer Nature Switzerland

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Abstract

In this work, we focus on the construction of explicit solutions of the nonlinear Schrödinger-type equation, which has various applications in physics. To obtain different kinds of exact solutions the Jacobi elliptic function method is applied. As a result, abundant new exact solutions are received including Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions, etc. Furthermore, for certain parameter values, the obtained solutions are presented in 2D and 3D plots. The method can be also applied to other nonlinear partial differential equations.

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Title: Explicit Solutions of the Nonlinear Schrödinger-Type Equation
Authors: Arailym Syzdykova
Gaziz Kudaibergenov
Publisher: Springer Nature Switzerland
Book: New Trends in the Applications of Differential Equations in Sciences
Print ISBN: 978-3-031-53211-5

Electronic ISBN: 978-3-031-53212-2

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-53212-2_16

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