Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift
<p>In this manuscript, the optical solitons of nonlinear Schrödinger equation (NLSE) with cubic–quintic law nonlinearity, in the presence of self-frequency shift and self-steepening, has been studied. The ultrahigh capacity propagation and transit of laser light pulses in optical fibres were d...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | , , |
| منشور في: |
2022
|
| الموضوعات: | |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1864513536494927872 |
|---|---|
| author | Farwa Salman (17545695) |
| author2 | Nauman Raza (17337934) Ghada Ali Basendwah (17545698) Mohammed M.M. Jaradat (17269252) |
| author2_role | author author author |
| author_facet | Farwa Salman (17545695) Nauman Raza (17337934) Ghada Ali Basendwah (17545698) Mohammed M.M. Jaradat (17269252) |
| author_role | author |
| dc.creator.none.fl_str_mv | Farwa Salman (17545695) Nauman Raza (17337934) Ghada Ali Basendwah (17545698) Mohammed M.M. Jaradat (17269252) |
| dc.date.none.fl_str_mv | 2022-08-01T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.rinp.2022.105753 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Optical_solitons_and_qualitative_analysis_of_nonlinear_Schrodinger_equation_in_the_presence_of_self_steepening_and_self_frequency_shift/24720390 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Mathematical physics Physical sciences Atomic, molecular and optical physics Cubic quintic NLSE Optical solitons Polynomial and rational form solutions Bifurcation |
| dc.title.none.fl_str_mv | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>In this manuscript, the optical solitons of nonlinear Schrödinger equation (NLSE) with cubic–quintic law nonlinearity, in the presence of self-frequency shift and self-steepening, has been studied. The ultrahigh capacity propagation and transit of laser light pulses in optical fibres were described using this form of equation. To extract new results, two strong methodologies has been used. To extract the exact solution unified method has been employed. The solutions obtained by this analytical method, are in form of polynomial and rational function solution. Moreover, the validity of non-singular solutions has guaranteed by a limitation condition that is graphically illustrated in 3D. The 2D graphical representation are also used to demonstrate the influence of parameters on the predicted non-singular solutions. The other technique, used for qualitative analysis, is bifurcation. The system has been transformed into a planer dynamical system, which has been transformed into a hamiltonian system. All the possible phase portrait has been plotted by complete discrimination method. The acquired results are novel and have not been recorded before and they indicate that the proposed methodologies may be used to investigate innovative soliton solutions and phase portraits for any NLSE.</p><h2>Other Information</h2> <p> Published in: Results in Physics<br> License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.rinp.2022.105753" target="_blank">https://dx.doi.org/10.1016/j.rinp.2022.105753</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_eee1c763c0acca305e44aea1d5a3f73c |
| identifier_str_mv | 10.1016/j.rinp.2022.105753 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/24720390 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shiftFarwa Salman (17545695)Nauman Raza (17337934)Ghada Ali Basendwah (17545698)Mohammed M.M. Jaradat (17269252)Mathematical sciencesMathematical physicsPhysical sciencesAtomic, molecular and optical physicsCubic quintic NLSEOptical solitonsPolynomial and rational form solutionsBifurcation<p>In this manuscript, the optical solitons of nonlinear Schrödinger equation (NLSE) with cubic–quintic law nonlinearity, in the presence of self-frequency shift and self-steepening, has been studied. The ultrahigh capacity propagation and transit of laser light pulses in optical fibres were described using this form of equation. To extract new results, two strong methodologies has been used. To extract the exact solution unified method has been employed. The solutions obtained by this analytical method, are in form of polynomial and rational function solution. Moreover, the validity of non-singular solutions has guaranteed by a limitation condition that is graphically illustrated in 3D. The 2D graphical representation are also used to demonstrate the influence of parameters on the predicted non-singular solutions. The other technique, used for qualitative analysis, is bifurcation. The system has been transformed into a planer dynamical system, which has been transformed into a hamiltonian system. All the possible phase portrait has been plotted by complete discrimination method. The acquired results are novel and have not been recorded before and they indicate that the proposed methodologies may be used to investigate innovative soliton solutions and phase portraits for any NLSE.</p><h2>Other Information</h2> <p> Published in: Results in Physics<br> License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.rinp.2022.105753" target="_blank">https://dx.doi.org/10.1016/j.rinp.2022.105753</a></p>2022-08-01T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.rinp.2022.105753https://figshare.com/articles/journal_contribution/Optical_solitons_and_qualitative_analysis_of_nonlinear_Schrodinger_equation_in_the_presence_of_self_steepening_and_self_frequency_shift/24720390CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/247203902022-08-01T00:00:00Z |
| spellingShingle | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift Farwa Salman (17545695) Mathematical sciences Mathematical physics Physical sciences Atomic, molecular and optical physics Cubic quintic NLSE Optical solitons Polynomial and rational form solutions Bifurcation |
| status_str | publishedVersion |
| title | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_full | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_fullStr | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_full_unstemmed | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_short | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| title_sort | Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift |
| topic | Mathematical sciences Mathematical physics Physical sciences Atomic, molecular and optical physics Cubic quintic NLSE Optical solitons Polynomial and rational form solutions Bifurcation |