Magdy G. Asaad
Exact Pfaffian and NSoliton Solutions to a (31)Dimensional Generalized Integrable Nonlinear Partial Differential Equations
627 - 634
2013
7
4
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/2530
https://publications.waset.org/vol/76
World Academy of Science, Engineering and Technology
The objective of this paper is to use the Pfaffian
technique to construct different classes of exact Pfaffian solutions and
Nsoliton solutions to some of the generalized integrable nonlinear
partial differential equations in (31) dimensions. In this paper, I will
show that the Pfaffian solutions to the nonlinear PDEs are nothing but
Pfaffian identities. Solitons are among the most beneficial solutions
for science and technology, from ocean waves to transmission of
information through optical fibers or energy transport along protein
molecules. The existence of multisolitons, especially threesoliton
solutions, is essential for information technology it makes possible
undisturbed simultaneous propagation of many pulses in both directions.
Open Science Index 76, 2013