Comparison of KP and BBM-KP Models
It is shown that the solutions of the pure initial-value problem for the KP and regularized KP equations are the same, within the order of accuracy attributable to either, on the time scale 0≤t≤ε−3/2, during which nonlinear and dispersive effects may accumulate to make an order-one relative differen...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/37274 |
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| _version_ | 1832567052334792704 |
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| author | Gideon P. Daspan Michael M. Tom |
| author_facet | Gideon P. Daspan Michael M. Tom |
| author_sort | Gideon P. Daspan |
| collection | DOAJ |
| description | It is shown that the solutions of the pure initial-value problem for the KP and regularized KP equations are the same, within the order of accuracy attributable to either, on the time scale 0≤t≤ε−3/2, during which nonlinear and dispersive effects may accumulate to make an order-one relative difference to the wave profiles. |
| format | Article |
| id | doaj-art-b0f2e9e0b00541afa6c0594cfe709550 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b0f2e9e0b00541afa6c0594cfe7095502025-02-03T01:02:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/3727437274Comparison of KP and BBM-KP ModelsGideon P. Daspan0Michael M. Tom1Department of Mathematics, Louisiana State University, Baton Rouge 70803, LA, USADepartment of Mathematics, Louisiana State University, Baton Rouge 70803, LA, USAIt is shown that the solutions of the pure initial-value problem for the KP and regularized KP equations are the same, within the order of accuracy attributable to either, on the time scale 0≤t≤ε−3/2, during which nonlinear and dispersive effects may accumulate to make an order-one relative difference to the wave profiles.http://dx.doi.org/10.1155/2007/37274 |
| spellingShingle | Gideon P. Daspan Michael M. Tom Comparison of KP and BBM-KP Models International Journal of Mathematics and Mathematical Sciences |
| title | Comparison of KP and BBM-KP Models |
| title_full | Comparison of KP and BBM-KP Models |
| title_fullStr | Comparison of KP and BBM-KP Models |
| title_full_unstemmed | Comparison of KP and BBM-KP Models |
| title_short | Comparison of KP and BBM-KP Models |
| title_sort | comparison of kp and bbm kp models |
| url | http://dx.doi.org/10.1155/2007/37274 |
| work_keys_str_mv | AT gideonpdaspan comparisonofkpandbbmkpmodels AT michaelmtom comparisonofkpandbbmkpmodels |