Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq Equation
Nonlinear science represents a foundational frontier in scientific inquiry that explores the shared characteristics inherent in nonlinear phenomena. This study focused on the perturbed Boussinesq (PB) equation incorporating dual perturbation terms. Soliton solutions were deduced by leveraging the tr...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/cplx/2800207 |
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| author | Akhtar Hussain Tarek F. Ibrahim Faizah D. Alanazi Waleed M. Osman Arafa A. Dawood Jorge Herrera |
| author_facet | Akhtar Hussain Tarek F. Ibrahim Faizah D. Alanazi Waleed M. Osman Arafa A. Dawood Jorge Herrera |
| author_sort | Akhtar Hussain |
| collection | DOAJ |
| description | Nonlinear science represents a foundational frontier in scientific inquiry that explores the shared characteristics inherent in nonlinear phenomena. This study focused on the perturbed Boussinesq (PB) equation incorporating dual perturbation terms. Soliton solutions were deduced by leveraging the traveling wave hypothesis. Furthermore, by employing the generalized Jacobi elliptic expansion function (JEEF) method and the improved tan (Λ/2) method, diverse nonlinear wave solutions, including kink, dark, periodic, bright, singular, periodic waves, bell-shaped solitons, solitary waves, shock waves, and kink-shaped soliton solutions, were acquired. The establishment of constraint relations is detailed to delineate the criteria for the existence of these wave solutions. Notably, these solutions are innovative and present novel contributions that have not yet been documented in the literature. In addition, 2D and 3D graphics were constructed to visually elucidate the physical behavior inherent to these newly acquired exact solutions. |
| format | Article |
| id | doaj-art-75b47a1a76c84e9bb1251a92fdf9e82d |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-75b47a1a76c84e9bb1251a92fdf9e82d2025-08-20T03:26:44ZengWileyComplexity1099-05262025-01-01202510.1155/cplx/2800207Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq EquationAkhtar Hussain0Tarek F. Ibrahim1Faizah D. Alanazi2Waleed M. Osman3Arafa A. Dawood4Jorge Herrera5Department of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Human Resources ManagementFacultad de Ciencias Naturales e IngenieriaNonlinear science represents a foundational frontier in scientific inquiry that explores the shared characteristics inherent in nonlinear phenomena. This study focused on the perturbed Boussinesq (PB) equation incorporating dual perturbation terms. Soliton solutions were deduced by leveraging the traveling wave hypothesis. Furthermore, by employing the generalized Jacobi elliptic expansion function (JEEF) method and the improved tan (Λ/2) method, diverse nonlinear wave solutions, including kink, dark, periodic, bright, singular, periodic waves, bell-shaped solitons, solitary waves, shock waves, and kink-shaped soliton solutions, were acquired. The establishment of constraint relations is detailed to delineate the criteria for the existence of these wave solutions. Notably, these solutions are innovative and present novel contributions that have not yet been documented in the literature. In addition, 2D and 3D graphics were constructed to visually elucidate the physical behavior inherent to these newly acquired exact solutions.http://dx.doi.org/10.1155/cplx/2800207 |
| spellingShingle | Akhtar Hussain Tarek F. Ibrahim Faizah D. Alanazi Waleed M. Osman Arafa A. Dawood Jorge Herrera Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq Equation Complexity |
| title | Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq Equation |
| title_full | Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq Equation |
| title_fullStr | Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq Equation |
| title_full_unstemmed | Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq Equation |
| title_short | Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq Equation |
| title_sort | novel soliton and wave solutions for the dual perturbed integrable boussinesq equation |
| url | http://dx.doi.org/10.1155/cplx/2800207 |
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