Variable coefficient higher-order nonlinear Schrödinger type equations and their solutions

In this communication we focus on certain higher-order partial differential equations of the nonlinear Schrödinger type with variable coefficients. By using a traveling wave reduction we obtain the general solution for the envelope in terms of the Jacobi elliptic sine function. The time dependence o...

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Bibliographic Details
Published inOptik (Stuttgart) Vol. 242; p. 167195
Main Authors Dan, Jayita, Ghose-Choudhury, A., Garai, Sudip
Format Journal Article
LanguageEnglish
Published Elsevier GmbH 01.09.2021
Subjects
Cubic–quartic NLS type equation
Elliptic functions
Traveling waves
Variable coefficient nonlinear PDEs
Traveling waves
Variable coefficient nonlinear PDEs
Elliptic functions
Cubic–quartic NLS type equation
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Summary:In this communication we focus on certain higher-order partial differential equations of the nonlinear Schrödinger type with variable coefficients. By using a traveling wave reduction we obtain the general solution for the envelope in terms of the Jacobi elliptic sine function. The time dependence of the traveling wave coordinate and phase are explicitly determined as functions of the variable coefficients appearing in the equations. The equations investigated display cubic and fourth-order dispersion terms as well as higher nonlinearity and their constant coefficient versions have been the subject of a number of recent studies.
ISSN:0030-4026
DOI:10.1016/j.ijleo.2021.167195