Symmetry solutions of some nonlinear PDE's
| dc.contributor.author | AIJAZ AHMAD | |
| dc.date | 2005 | |
| dc.date.accessioned | 2022-05-18T05:00:21Z | |
| dc.date.available | 2022-05-18T05:00:21Z | |
| dc.degree.department | College of Sciences | |
| dc.degree.grantor | King Fahad for Petrolem University | |
| dc.description.abstract | إن إﻳﺠﺎد اﻟﺤﻠﻮل اﻟﺘﺎﻣﺔ اﻟﺘﺤﻠﻴﻠﻴﺔ ﻟﻠﻤﻌﺎدﻻت اﻟﺘﻔﺎﺿﻠﻴﺔ اﻟﺠﺰﺋﻴﺔ اﻟﻐﻴﺮ اﻟﺨﻄﻴﺔ هﻮ واﺣﺪ ﻣﻦ اﻟ ﻤﺴﺎﺋﻞ اﻟﺘﻲ ﺗﺸﻜﻞ ﺗﺤﺪﻳﺎ ﻴﺎت ﻓﻲ اﻟﺮﻳﺎﺿ اﻟﺘﻄﺒﻴﻘﻴﺔ .ﻴﺔ و ﺑﺎﻷﺧﺺ، ﻓﺈن ﺣﺎﻻت ﺟُﻤﻞ اﻟﻤﻌﺎدﻻت اﻟﺘﻔﺎﺿﻠ اﻟﺠﺰﺋﻴﺔ اﻟﻼ ﺧﻄﻴﺔ ﺗﻀﻊ أﻣﺎﻣﻨﺎ ﻳﺎت أﺻﻌﺐ اﻟﺘﺤﺪ .ﻼت إن ﻃﺮﻳﻘﺔ ﺗﻨﺎﻇﺮ ﻟﻲ ﺗﻮﻓﺮ أداة ﻗﻮﻳﺔ ﻟﺘﻮﻟﻴﺪ هﺬﻩ اﻟﺘﺤﻮﻳ اﻟﺘﻲ ﻳﻤﻜﻦ اﺳﺘﺨﺪاﻣﻬﺎ ﻟﺘﺤﻮﻳﻞ اﻟﻤﻌﺎدﻟﺔ اﻟﺘﻔﺎﺿﻠﻴﺔ اﻟﻤﻌﻄﺎة اﻟﻰ ﻣﻌﺎدﻟﺔ أﺑﺴﻂ ﻣﻊ اﻟﻤﺤﺎﻓﻈﺔ ﻋﻠﻰ اﻟﻼﺗﻐﻴﺮﻟﻠﻤﻌﺎدﻟﺔ اﻷﺻﻠﻴﺔ .ﺟﺬﺑﺖ و ﻧﺘﻴﺠﺔ ﻟﺬﻟﻚ ﻓﺈﻧﻬﺎ ﺗﺘﻤﺘﻊ ﺑﺘﻄﺒﻴﻖ واﺳﻊ و ﻗﺪ اﻧﺘﺒﺎﻩاﻟﻌﺪﻳﺪ اﻟﺒﺎﺣﺜﻴﻦ ﻣﻦ . ﻓﻲ هﺬا اﻟﻌﻤﻞ اﻟﺒﺤﺜﻲ ﻓﺈﻧﻨﺎ ﺳﻮف آﺎﻣﻼ ﻧﻌﻤﻞ ﻋﻠﻰ ﺣﺴﺎب ﺗﺼﻨﻴﻔﺎ ﻟ ﻌﺎﺋﻠﺔ ﻣﻦ ﻣﻌﺎدﻻت أﻣﻮاج ذات (ﻣﻤﺜﻠﺔ 1+2) ﺑﻌﺪ، ﺣﻴﺚ أن اﻟﻼﺧﻄﻴﺔ ﻗﺪ ﻗﺪﻣﺖ ﻣﻦ ﺧﻼل داﻟﺔ اﻟﻤﻮﺟﺔ ﻟﺴﺮﻋﺔ . ﻟﻘﺪ ﺗﻢ اﺷﺘﻘﺎق آﻞ اﻟﺘﻨﺎﻇﺮات اﻟﻤﻤﻜﻨﺔ ﻟﻬﺬﻩ اﻟﻤﻌﺎدﻟﺔ اﻟﻤﻮﺟﻴﺔ وأﻋﻄﻴﺖ ﻣﺠﻤﻮﻋﺔ ﻣﻦ اﻻﺧﺘﺰاﻻت ﻟﻤﻌﺎدﻻت ﺗﻔﺎﺿﻠﻴﺔ ﻋﺎدﻳﺔ ﺑﺎﺳﺘﺨﺪام ﺟﺒﺮﻳﺎت ﺟﺰﺋﻴﺔ ذات ﺑﻌﺪﻳﻦ | |
| dc.identifier.other | 4213 | |
| dc.identifier.uri | https://drepo.sdl.edu.sa/handle/20.500.14154/1610 | |
| dc.language.iso | en | |
| dc.publisher | Saudi Digital Library | |
| dc.thesis.level | Master | |
| dc.thesis.source | King Fahad for Petrolem University | |
| dc.title | Symmetry solutions of some nonlinear PDE's | |
| dc.type | Thesis |