Research on Optical Soliton Perturbation

Dear Colleagues,

This Special Issue of Universe is devoted to recent developments in the theory of optical soliton perturbation in mathematical physics and its applications.

Optical soliton perturbation is one of the most fascinating areas of research in the field of mathematical physics. Optical soliton is used to describe the dynamics of soliton propagation through optical fibers and other forms of waveguides such as crystals, couplers, metamaterials, metasurfaces, Bragg gratings, and photonic crystal fibers. A variety of models have been proposed to govern the dynamics of such soliton propagation across transcontinental and transoceanic distances. They are Chen–Lee–Liu equation, Sasa–Satsuma model, Gerdjikov–Ivanov equation, Lakshmanan–Porsezian–Daniel model, Schrödinger–Hirota equation, and a variety of other such models. These models are considered with perturbation terms to describe a generalized perspective to optical soliton propagation dynamics. Some such perturbation terms are Hamiltonian type, non-local type, stochastic type, as well as a variety of other forms. The governing models are also studied in the context of nonlinear optics with non-Kerr law nonlinearities such as power law, parabolic law, dual-power law, quadratic–cubic law, anti-cubic law, cubic–quintic–septic law, polynomial law, log law, and a variety of other law nonlinearities. The extraction of optical solitons with the perturbed governing models has drawn lots of attention in mathematical physics. Thus, there has been several mathematical techniques that have been implemented to address such optical solitons. These include the method of undetermined coefficients, Lie symmetry analysis, extended trial equation method, and several others. Several advances have been made and a plethora of results have been reported, but there are still developments to be retrieved new results on optical soliton perturbation.

This Special Issue of Universe features articles about all aspects of optical solitons, perturbation, non-Kerr laws, polarization, birefringence, dense wavelength division multiplexed system, couplers, Bragg gratings, dispersive solitons, cubic-quartic solitons, highly dispersive solitons, pure-cubic solitons, and chirped solitons.

We look forward to your contributions of review and original research articles dealing with the recent topics and advances in optical soliton perturbation. The published papers in this Special Issue of Universe could provide crucial examples and possible new research avenues for further advancements.

Please note that all submitted papers must be within the general scope of the Universe journal.

Dr. Yakup Yildirim
Guest Editor

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 250 words) can be sent to the Editorial Office for assessment.

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. Universe is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. 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.