Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative
The work explores the optical wave solutions along with their graphical representations by proposing the coupled spatial-temporal fractional cubic-quartic nonlinear Schrödinger equation with the sense of two fractal derivatives (beta and conformable derivative) and Kerr law nonlinearity for birefrin...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/7265164 |
| _version_ | 1797977030968475648 |
|---|---|
| author | M. F. Uddin M. G. Hafez |
| author_facet | M. F. Uddin M. G. Hafez |
| author_sort | M. F. Uddin |
| collection | DOAJ |
| description | The work explores the optical wave solutions along with their graphical representations by proposing the coupled spatial-temporal fractional cubic-quartic nonlinear Schrödinger equation with the sense of two fractal derivatives (beta and conformable derivative) and Kerr law nonlinearity for birefringent fibers. The new extended direct algebraic method for the first time is implemented to achieve this goal. Many optical solutions are listed along with their existence criteria. Based on the existence criteria, the cubic-quartic bright, and singular optical soliton, periodic pulse, and rouge wave profiles are supported in birefringent fibers with the influence of both beta and conformable derivative parameter. |
| first_indexed | 2024-04-11T05:00:29Z |
| format | Article |
| id | doaj.art-009660b2b7754794bf57f053b62ee32b |
| institution | Directory Open Access Journal |
| issn | 1687-9139 |
| language | English |
| last_indexed | 2024-04-11T05:00:29Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj.art-009660b2b7754794bf57f053b62ee32b2022-12-26T01:12:44ZengHindawi LimitedAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/7265164Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable DerivativeM. F. Uddin0M. G. Hafez1Department of MathematicsDepartment of MathematicsThe work explores the optical wave solutions along with their graphical representations by proposing the coupled spatial-temporal fractional cubic-quartic nonlinear Schrödinger equation with the sense of two fractal derivatives (beta and conformable derivative) and Kerr law nonlinearity for birefringent fibers. The new extended direct algebraic method for the first time is implemented to achieve this goal. Many optical solutions are listed along with their existence criteria. Based on the existence criteria, the cubic-quartic bright, and singular optical soliton, periodic pulse, and rouge wave profiles are supported in birefringent fibers with the influence of both beta and conformable derivative parameter.http://dx.doi.org/10.1155/2022/7265164 |
| spellingShingle | M. F. Uddin M. G. Hafez Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative Advances in Mathematical Physics |
| title | Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative |
| title_full | Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative |
| title_fullStr | Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative |
| title_full_unstemmed | Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative |
| title_short | Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative |
| title_sort | optical wave phenomena in birefringent fibers described by space time fractional cubic quartic nonlinear schrodinger equation with the sense of beta and conformable derivative |
| url | http://dx.doi.org/10.1155/2022/7265164 |
| work_keys_str_mv | AT mfuddin opticalwavephenomenainbirefringentfibersdescribedbyspacetimefractionalcubicquarticnonlinearschrodingerequationwiththesenseofbetaandconformablederivative AT mghafez opticalwavephenomenainbirefringentfibersdescribedbyspacetimefractionalcubicquarticnonlinearschrodingerequationwiththesenseofbetaandconformablederivative |