is small. The next order in the linear dispersion relation (fifth derivative) is then as important as the third We numerically calculate bions, which are bound states of two solitary waves which travel together as a single coherent structure derivative. It is then necessary to replace the KdV with a
Benchmarking the propagator method for nonlinear systems: A Burgers-Korteweg-deVries equation
✍ Scribed by D.G Cacuci; O.A Karakashian
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 787 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0021-9991
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AbstraetqWe discuss a direct formulation of the Tau Method in two dimensions which differs radically from former techniques in that no discretization is introduced in any of the variables. A segmented formulation in terms of Tau elements is discussed and applied to the numerical solution of nonlinea
## Abstract A fourth‐order compact finite‐difference method is proposed in this paper to solve the system of two‐dimensional Burgers' equations. The new method is based on the two‐dimensional Hopf–Cole trans‐formation, which transforms the system of two‐dimensional Burgers' equations into a linear