Exact Solutions Superimposed with Nonlinear Plane Waves
The flow of fluid in atmosphere and ocean is governed by rotating stratified Boussinesq equations. Through the literature, we found that many researchers are trying to find the solutions of rotating stratified Boussinesq equations. In this paper, we have obtained special exact solutions and nonlinea...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/1846341 |
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| _version_ | 1850159113870245888 |
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| author | B. S. Desale Vivek Sharma |
| author_facet | B. S. Desale Vivek Sharma |
| author_sort | B. S. Desale |
| collection | DOAJ |
| description | The flow of fluid in atmosphere and ocean is governed by rotating stratified Boussinesq equations. Through the literature, we found that many researchers are trying to find the solutions of rotating stratified Boussinesq equations. In this paper, we have obtained special exact solutions and nonlinear plane waves. Finally, we provide exact solutions to rotating stratified Boussinesq equations with large scale motion superimposed with the nonlinear plane waves. In support of our investigations, we provided two examples: one described the special exact solution and in second example, we have determined the special exact solution superimposed with nonlinear plane wave. Also, we depicted some integral curves that represent the flow of an incompressible fluid particle on the plane x1+x2=L(constant) as the particular case. |
| format | Article |
| id | doaj-art-5f71b8f9a5134040a54f97e4e306ce91 |
| institution | OA Journals |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-5f71b8f9a5134040a54f97e4e306ce912025-08-20T02:23:40ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/18463411846341Exact Solutions Superimposed with Nonlinear Plane WavesB. S. Desale0Vivek Sharma1Department of Mathematics, University of Mumbai, Mumbai 400 098, IndiaDepartment of Mathematics, North Maharashtra University, Jalgaon 425 001, IndiaThe flow of fluid in atmosphere and ocean is governed by rotating stratified Boussinesq equations. Through the literature, we found that many researchers are trying to find the solutions of rotating stratified Boussinesq equations. In this paper, we have obtained special exact solutions and nonlinear plane waves. Finally, we provide exact solutions to rotating stratified Boussinesq equations with large scale motion superimposed with the nonlinear plane waves. In support of our investigations, we provided two examples: one described the special exact solution and in second example, we have determined the special exact solution superimposed with nonlinear plane wave. Also, we depicted some integral curves that represent the flow of an incompressible fluid particle on the plane x1+x2=L(constant) as the particular case.http://dx.doi.org/10.1155/2016/1846341 |
| spellingShingle | B. S. Desale Vivek Sharma Exact Solutions Superimposed with Nonlinear Plane Waves International Journal of Differential Equations |
| title | Exact Solutions Superimposed with Nonlinear Plane Waves |
| title_full | Exact Solutions Superimposed with Nonlinear Plane Waves |
| title_fullStr | Exact Solutions Superimposed with Nonlinear Plane Waves |
| title_full_unstemmed | Exact Solutions Superimposed with Nonlinear Plane Waves |
| title_short | Exact Solutions Superimposed with Nonlinear Plane Waves |
| title_sort | exact solutions superimposed with nonlinear plane waves |
| url | http://dx.doi.org/10.1155/2016/1846341 |
| work_keys_str_mv | AT bsdesale exactsolutionssuperimposedwithnonlinearplanewaves AT viveksharma exactsolutionssuperimposedwithnonlinearplanewaves |