Abundant time-wavering solutions of a modified regularized long wave model using the EMSE technique
This research article presents the application of the enhanced modified simple equation integral technique to obtain abundant time-wavering solutions of the modified regularized long wave (RLW) model. The model is known for its significance in exploring wave phenomena in various fields, including sh...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-12-01
|
| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818123000645 |
| _version_ | 1797390357153972224 |
|---|---|
| author | Sakhawat Hossain Md. Mamunur Roshid Mahtab Uddin Arifa Akter Ripa Harun-Or Roshid |
| author_facet | Sakhawat Hossain Md. Mamunur Roshid Mahtab Uddin Arifa Akter Ripa Harun-Or Roshid |
| author_sort | Sakhawat Hossain |
| collection | DOAJ |
| description | This research article presents the application of the enhanced modified simple equation integral technique to obtain abundant time-wavering solutions of the modified regularized long wave (RLW) model. The model is known for its significance in exploring wave phenomena in various fields, including shallow water dynamics, pressure waves in liquids and gas bubbles, nonlinear transverse waves in magneto-hydrodynamics, and ion-acoustic waves in plasma. By implementing the enhanced modified simple equation integral technique, we construct arbitrary time-varying wave solutions for the model, resulting in a diverse range of solitonic waveforms. These solutions include kink waves, anti-kink waves, bright and dark bell waves, double periodic waves, and combinations of solitons and periodic waves. The obtained solutions are visually presented through 2D and 3D density and contour plots. Our findings demonstrate the effectiveness and potential of the enhanced modified simple equation integral technique in identifying innovative time-varying soliton solutions within the modified RLW model. |
| first_indexed | 2024-03-08T23:10:33Z |
| format | Article |
| id | doaj.art-8f21e07dccbf41dea190b1c62f16bf31 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-08T23:10:33Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-8f21e07dccbf41dea190b1c62f16bf312023-12-15T07:26:46ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-12-018100551Abundant time-wavering solutions of a modified regularized long wave model using the EMSE techniqueSakhawat Hossain0Md. Mamunur Roshid1Mahtab Uddin2Arifa Akter Ripa3Harun-Or Roshid4Department of Sciences, BGMEA University of Fashion and Technology, Dhaka, BangladeshDepartment of Mathematics, Hamdard University Bangladesh, Munshigonj, BangladeshInstitute of Natural Sciences, United International University, Dhaka, Bangladesh; Corresponding author.Department of Mathematics, Hamdard University Bangladesh, Munshigonj, BangladeshDepartment of Mathematics, Pabna University of Science and Technology, Pabna, BangladeshThis research article presents the application of the enhanced modified simple equation integral technique to obtain abundant time-wavering solutions of the modified regularized long wave (RLW) model. The model is known for its significance in exploring wave phenomena in various fields, including shallow water dynamics, pressure waves in liquids and gas bubbles, nonlinear transverse waves in magneto-hydrodynamics, and ion-acoustic waves in plasma. By implementing the enhanced modified simple equation integral technique, we construct arbitrary time-varying wave solutions for the model, resulting in a diverse range of solitonic waveforms. These solutions include kink waves, anti-kink waves, bright and dark bell waves, double periodic waves, and combinations of solitons and periodic waves. The obtained solutions are visually presented through 2D and 3D density and contour plots. Our findings demonstrate the effectiveness and potential of the enhanced modified simple equation integral technique in identifying innovative time-varying soliton solutions within the modified RLW model.http://www.sciencedirect.com/science/article/pii/S2666818123000645EMSE techniqueMRLW modelVariable coefficient solutionsLiquids gas bubblesMagnetohydrodynamicsPlasma |
| spellingShingle | Sakhawat Hossain Md. Mamunur Roshid Mahtab Uddin Arifa Akter Ripa Harun-Or Roshid Abundant time-wavering solutions of a modified regularized long wave model using the EMSE technique Partial Differential Equations in Applied Mathematics EMSE technique MRLW model Variable coefficient solutions Liquids gas bubbles Magnetohydrodynamics Plasma |
| title | Abundant time-wavering solutions of a modified regularized long wave model using the EMSE technique |
| title_full | Abundant time-wavering solutions of a modified regularized long wave model using the EMSE technique |
| title_fullStr | Abundant time-wavering solutions of a modified regularized long wave model using the EMSE technique |
| title_full_unstemmed | Abundant time-wavering solutions of a modified regularized long wave model using the EMSE technique |
| title_short | Abundant time-wavering solutions of a modified regularized long wave model using the EMSE technique |
| title_sort | abundant time wavering solutions of a modified regularized long wave model using the emse technique |
| topic | EMSE technique MRLW model Variable coefficient solutions Liquids gas bubbles Magnetohydrodynamics Plasma |
| url | http://www.sciencedirect.com/science/article/pii/S2666818123000645 |
| work_keys_str_mv | AT sakhawathossain abundanttimewaveringsolutionsofamodifiedregularizedlongwavemodelusingtheemsetechnique AT mdmamunurroshid abundanttimewaveringsolutionsofamodifiedregularizedlongwavemodelusingtheemsetechnique AT mahtabuddin abundanttimewaveringsolutionsofamodifiedregularizedlongwavemodelusingtheemsetechnique AT arifaakterripa abundanttimewaveringsolutionsofamodifiedregularizedlongwavemodelusingtheemsetechnique AT harunorroshid abundanttimewaveringsolutionsofamodifiedregularizedlongwavemodelusingtheemsetechnique |