Downloads provided by UsageCounts
{"references": ["Bleecker, D., & Csordas, G. (1992). Basic partial differential equations. CRC Press", "Farlow, S. J. (1993). Partial differential equations for scientists and engineers. Courier Corporation", "John F.(1982). Partial Differential Equations, Springer-Verlag, New York", "Lam, L. (2000). Nonlinear Physics for Beginners", "Logan, J. D. (2008). An introduction to nonlinear partial differential equations (Vol. 89). John Wiley & Sons", "Wazwaz, A. M. (2002). Partial differential equations. CRC Press", "Hereman, W. (2009). Shallow water waves and solitary waves, Encyclopedia of Complexity and Systems Science, Ed.: RA Meyers", "Wazwaz, A. M. (2004). A sine-cosine method for handlingnonlinear wave equations. Mathematical and Computer modelling, 40(5-6), 499-508", "Malfliet, W., & Hereman, W. (1996). The tanh method: I. Exact solutions of nonlinear evolution and wave equations. Physica Scripta, 54(6), 563.", "Alquran, M., Al-Khaled, K., & Ananbeh, H. (2011). New soliton solutions for systems of nonlinear evolution equations by the rational sine-cosine method. Studies in Mathematical Sciences, 3(1), 1-9."]}
In mathematical physics numerous methods has been applied for finding exact solutions of various nonlinear partial differential equations (NLPDEs). A very powerful solution method is the Functional Variable Method (FVM). In this paper, we discuss the validity & advantages of this method in the Benjamin-Ono equation and achieve graphical representation for different parameters. The Benjamin-Ono equation is the non K-dv type equation and we solve the non K-dv type equation in this paper. By using this useful method, it is shown that the FVM is effective and general than the other method. We presented the graphical representation of the soliton solutions for various wave speed.
Functional variable method; travelling wave; BO equation
Functional variable method; travelling wave; BO equation
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
| views | 2 | |
| downloads | 4 |

Views provided by UsageCounts
Downloads provided by UsageCounts