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On Multiwave Solutions of One Nonlinear Schrödinger Equation

On Multiwave Solutions of One Nonlinear Schrödinger Equation We consider a nonlinear Schrödinger equation arising in a number of physicalproblems. It is shown that when the real part is separated in this equation, there arises anonlinear differential equation that has at least two types of solutions, a multiwave solution and asolution in the form of standing waves. Numerical examples of the multiwave solution and itstransition to the standing wave solution are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On Multiwave Solutions of One Nonlinear Schrödinger Equation

Differential Equations , Volume 57 (6) – Jul 8, 2021

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References (10)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/s0012266121060021
Publisher site
See Article on Publisher Site

Abstract

We consider a nonlinear Schrödinger equation arising in a number of physicalproblems. It is shown that when the real part is separated in this equation, there arises anonlinear differential equation that has at least two types of solutions, a multiwave solution and asolution in the form of standing waves. Numerical examples of the multiwave solution and itstransition to the standing wave solution are presented.

Journal

Differential EquationsSpringer Journals

Published: Jul 8, 2021

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