On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is devoted to the analysis of the travelling waves for a class of generalized nonlinear Schrödinger equations in a cylindric domain.
Searching for travelling waves reduces the problem to the multiparameter eigenvalue problems for a class of perturbed p-Laplacians.
We study dispersion relations between the eigenparameters, quantitative analysis of eigenfunctions and discuss some variational principles for eigenvalues of perturbed p-Laplacians.
In this paper we analyze the Dirichlet, Neumann, No-flux, Robin and Steklov boundary value problems.
Particularly, a “duality principle” between the Robin and the Steklov problems is presented.
American Psychological Association (APA)
Hasanov, Mahir. 2011. On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-452417
Modern Language Association (MLA)
Hasanov, Mahir. On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-452417
American Medical Association (AMA)
Hasanov, Mahir. On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-452417
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452417