Special Issue "Optical Soliton Solution for Nonlinear Partial Differential Equations – In Memory of Erwin Schrödinger’s 136th Birthday"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 30 September 2023 | Viewed by 272

Special Issue Editors

Prof. Dr. Elsayed M.E. Zayed
E-Mail Website
Guest Editor
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Interests: optical soliton solutions for NLPDES
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Interests: optical soliton fiber

Special Issue Information

Dear Colleagues,

Dispersive optical soliton solutions in magneto-optic waveguides, birefringent fibers, Bragg gratings fibers for perturbed nonlinear partial differential equations (NLPDEs) are considered cubic-quartic. Highly dispersive optical soliton solutions are considered cubic-quartic too. For example, the nonlinear Schrodinger equation (NLSE), Fokas–Lenells (FL) equation, Lakshmanan–Porsezian–Daniel (LPD) equation, the generalized Sasa–Satsuma (GSS) equation, Radhakrishnan–Kundu–Lakshmanan (RKL) equation, Manakov equation, the generalized Schrodinger–Hirota equation (GSH), Kundu–Eckhaus (KE) equation, Biswas–Milovic (BM) equation, Biswas–Arshed (BA) equation, the DWDM system of equations, and the Gerdjikov–Ivanov (GI) equation together with 14 types of nonlinear forms, namely:

  1. The Kerr law of nonlinearity;
  2. The power law of nonlinearity;
  3. The parabolic law of nonlinearity;
  4. The dual power law of nonlinearity;
  5. The quadratic-cubic law of nonlinearity;
  6. The polynomial law of nonlinearity;
  7. The non-local law of nonlinearity;
  8. The parabolic non-local law of nonlinearity;
  9. The anti-cubic law of nonlinearity;
  10. The generalized anti-cubic law of nonlinearity;
  11. The triple power law of nonlinearity;
  12. Kudryashov's form of refractive index;
  13. Kudryashov's sextic power law of nonlinearity;
  14. The generalized Kudryashov law of refractive index.

There are many mathematical methods to find the soliton solutions (dark solitons, bright solitons, and singular solitons) and many other solutions of many nonlinear partial differential equations. Some of these use symmetry theory and symmetry properties. Finally, we have discussed all the above models by adding stochastic terms, having multiplicative white noise. Please note that all submitted papers must be within the general scope of the Symmetry journal.

Prof. Dr. Elsayed M.E. Zayed
Dr. Mohamed E.M. Alngar
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers

This special issue is now open for submission.
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