The variational iteration method for solitary patterns solutions of gBBM equation
We consider solitary patterns solutions of generalized Benjamin–Bona–Mahony equations (shortly gBBM). The variational iteration method (shortly VIM) is applied for the numerical solution subject to appropriate initial condition. The numerical solutions of our model equation are calculated in the for...
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| Published in | Physics letters. A Vol. 367; no. 6; pp. 461 - 464 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
06.08.2007
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0375-9601 1873-2429 |
| DOI | 10.1016/j.physleta.2007.03.045 |
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| Abstract | We consider solitary patterns solutions of generalized Benjamin–Bona–Mahony equations (shortly gBBM). The variational iteration method (shortly VIM) is applied for the numerical solution subject to appropriate initial condition. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The VIM performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. |
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| AbstractList | We consider solitary patterns solutions of generalized Benjamin–Bona–Mahony equations (shortly gBBM). The variational iteration method (shortly VIM) is applied for the numerical solution subject to appropriate initial condition. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The VIM performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. |
| Author | Bekir, Ahmet Yusufoglu, Elcin |
| Author_xml | – sequence: 1 givenname: Elcin surname: Yusufoglu fullname: Yusufoglu, Elcin email: eyusufoglu@dumlupinar.edu.tr – sequence: 2 givenname: Ahmet surname: Bekir fullname: Bekir, Ahmet |
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| Cites_doi | 10.1016/j.physleta.2006.03.005 10.1016/j.physleta.2006.02.048 10.1016/0022-247X(80)90098-0 10.1080/00036818808839812 10.1515/IJNSNS.2005.6.2.207 10.1088/0031-8949/54/6/004 10.1016/j.mcm.2003.12.010 10.1515/IJNSNS.2005.6.2.209 10.1016/j.chaos.2005.08.054 10.1080/00207160412331296706 10.1016/0022-247X(88)90170-9 10.1016/j.chaos.2005.10.100 10.1016/S0020-7462(98)00085-7 10.1017/S0022112066001678 10.1016/S0045-7825(98)00109-1 10.1016/S0045-7825(99)00018-3 10.1098/rsta.1972.0032 10.1016/S0020-7462(98)00048-1 10.1103/PhysRevLett.70.564 10.1016/j.physleta.2006.11.005 10.1016/S0960-0779(02)00653-7 10.1016/S0045-7825(98)00108-X 10.1016/j.chaos.2004.05.005 10.1016/j.cam.2004.11.032 10.1016/j.chaos.2005.11.050 10.1007/s12043-001-0002-3 10.1016/S0960-0779(02)00144-3 10.1016/j.amc.2003.08.008 10.1515/TJJ.1997.14.1.23 10.1016/j.chaos.2006.03.031 10.1002/cta.300 10.1515/IJNSNS.2001.2.4.309 10.1016/j.chaos.2005.03.006 10.1142/S0217979206033796 10.1016/j.chaos.2005.11.028 10.1016/S0096-3003(03)00745-8 10.1016/j.chaos.2005.04.113 10.1143/JPSJ.32.1681 10.1515/IJNSNS.2004.5.1.95 10.1515/IJNSNS.2003.4.3.313 |
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| Keywords | gBBM equation Variational iteration method Solitary patterns solutions |
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| Snippet | We consider solitary patterns solutions of generalized Benjamin–Bona–Mahony equations (shortly gBBM). The variational iteration method (shortly VIM) is applied... |
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| StartPage | 461 |
| SubjectTerms | gBBM equation Solitary patterns solutions Variational iteration method |
| Title | The variational iteration method for solitary patterns solutions of gBBM equation |
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