On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (1+3)-ZK Equation with Power-Law Nonlinearity
In this research paper, our work is connected with one of the most popular models in quantum magnetoplasma applications. The computational wave and numerical solutions of the Atangana conformable derivative (1+3)-Zakharov-Kuznetsov (ZK) equation with power-law nonlinearity are investigated via the m...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/5809289 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560197042700288 |
|---|---|
| author | Mostafa M. A. Khater Yu-Ming Chu Raghda A. M. Attia Mustafa Inc Dianchen Lu |
| author_facet | Mostafa M. A. Khater Yu-Ming Chu Raghda A. M. Attia Mustafa Inc Dianchen Lu |
| author_sort | Mostafa M. A. Khater |
| collection | DOAJ |
| description | In this research paper, our work is connected with one of the most popular models in quantum magnetoplasma applications. The computational wave and numerical solutions of the Atangana conformable derivative (1+3)-Zakharov-Kuznetsov (ZK) equation with power-law nonlinearity are investigated via the modified Khater method and septic-B-spline scheme. This model is formulated and derived by employing the well-known reductive perturbation method. Applying the modified Khater (mK) method, septic B-spline scheme to the (1+3)-ZK equation with power-law nonlinearity after harnessing suitable wave transformation gives plentiful unprecedented ion-solitary wave solutions. Stability property is checked for our results to show their applicability for applying in the model’s applications. The result solutions are constructed along with their 2D, 3D, and contour graphical configurations for clarity and exactitude. |
| format | Article |
| id | doaj-art-958c601f3df346729bad28cff0835ea5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-958c601f3df346729bad28cff0835ea52025-02-03T01:28:16ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/58092895809289On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (1+3)-ZK Equation with Power-Law NonlinearityMostafa M. A. Khater0Yu-Ming Chu1Raghda A. M. Attia2Mustafa Inc3Dianchen Lu4Department of Mathematics, Faculty of Science, Jiangsu University, 212013 Zhenjiang, ChinaDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, 212013 Zhenjiang, ChinaDepartment of Mathematics, Science Faculty, Firat University, 23119 Elazig, TurkeyDepartment of Mathematics, Faculty of Science, Jiangsu University, 212013 Zhenjiang, ChinaIn this research paper, our work is connected with one of the most popular models in quantum magnetoplasma applications. The computational wave and numerical solutions of the Atangana conformable derivative (1+3)-Zakharov-Kuznetsov (ZK) equation with power-law nonlinearity are investigated via the modified Khater method and septic-B-spline scheme. This model is formulated and derived by employing the well-known reductive perturbation method. Applying the modified Khater (mK) method, septic B-spline scheme to the (1+3)-ZK equation with power-law nonlinearity after harnessing suitable wave transformation gives plentiful unprecedented ion-solitary wave solutions. Stability property is checked for our results to show their applicability for applying in the model’s applications. The result solutions are constructed along with their 2D, 3D, and contour graphical configurations for clarity and exactitude.http://dx.doi.org/10.1155/2020/5809289 |
| spellingShingle | Mostafa M. A. Khater Yu-Ming Chu Raghda A. M. Attia Mustafa Inc Dianchen Lu On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (1+3)-ZK Equation with Power-Law Nonlinearity Advances in Mathematical Physics |
| title | On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (1+3)-ZK Equation with Power-Law Nonlinearity |
| title_full | On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (1+3)-ZK Equation with Power-Law Nonlinearity |
| title_fullStr | On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (1+3)-ZK Equation with Power-Law Nonlinearity |
| title_full_unstemmed | On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (1+3)-ZK Equation with Power-Law Nonlinearity |
| title_short | On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (1+3)-ZK Equation with Power-Law Nonlinearity |
| title_sort | on the analytical and numerical solutions in the quantum magnetoplasmas the atangana conformable derivative 1 3 zk equation with power law nonlinearity |
| url | http://dx.doi.org/10.1155/2020/5809289 |
| work_keys_str_mv | AT mostafamakhater ontheanalyticalandnumericalsolutionsinthequantummagnetoplasmastheatanganaconformablederivative13zkequationwithpowerlawnonlinearity AT yumingchu ontheanalyticalandnumericalsolutionsinthequantummagnetoplasmastheatanganaconformablederivative13zkequationwithpowerlawnonlinearity AT raghdaamattia ontheanalyticalandnumericalsolutionsinthequantummagnetoplasmastheatanganaconformablederivative13zkequationwithpowerlawnonlinearity AT mustafainc ontheanalyticalandnumericalsolutionsinthequantummagnetoplasmastheatanganaconformablederivative13zkequationwithpowerlawnonlinearity AT dianchenlu ontheanalyticalandnumericalsolutionsinthequantummagnetoplasmastheatanganaconformablederivative13zkequationwithpowerlawnonlinearity |