Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation
A mathematical model of fractal waves on shallow water surfaces is developed by using the concepts of local fractional calculus. The derivations of linear and nonlinear local fractional versions of the Korteweg-de Vries equation describing fractal waves on shallow water surfaces are obtained.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/278672 |
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| author | Xiao-Jun Yang Jordan Hristov H. M. Srivastava Bashir Ahmad |
| author_facet | Xiao-Jun Yang Jordan Hristov H. M. Srivastava Bashir Ahmad |
| author_sort | Xiao-Jun Yang |
| collection | DOAJ |
| description | A mathematical model of fractal waves on shallow water surfaces is developed by using the concepts of local fractional calculus. The derivations of linear and nonlinear local fractional versions of the Korteweg-de Vries equation describing fractal waves on shallow water surfaces are obtained. |
| format | Article |
| id | doaj-art-9e73aa067f7947e98ebfd5d293303084 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9e73aa067f7947e98ebfd5d2933030842025-08-20T03:38:40ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/278672278672Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries EquationXiao-Jun Yang0Jordan Hristov1H. M. Srivastava2Bashir Ahmad3Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaDepartment of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia, 8 Kliment Ohridsky Boulevard, 1756 Sofia, BulgariaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, CanadaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaA mathematical model of fractal waves on shallow water surfaces is developed by using the concepts of local fractional calculus. The derivations of linear and nonlinear local fractional versions of the Korteweg-de Vries equation describing fractal waves on shallow water surfaces are obtained.http://dx.doi.org/10.1155/2014/278672 |
| spellingShingle | Xiao-Jun Yang Jordan Hristov H. M. Srivastava Bashir Ahmad Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation Abstract and Applied Analysis |
| title | Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation |
| title_full | Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation |
| title_fullStr | Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation |
| title_full_unstemmed | Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation |
| title_short | Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation |
| title_sort | modelling fractal waves on shallow water surfaces via local fractional korteweg de vries equation |
| url | http://dx.doi.org/10.1155/2014/278672 |
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