Title variants
Languages of publication
Abstracts
A (3+1)-dimensional Burgers equation is studied by the singular manifold method. By choosing different seed solutions, auto-Bäcklund transformation, the Cole-Hopf transformation and a functional separation exact solution containing two low dimensional arbitrary functions are obtained for the equation in question. Some interesting localized coherent structures are given and their interaction properties are numerically studied. Some new nonlinear phenomena are reported.
Discipline
- 02.30.Ik: Integrable systems
- 02.30.Jr: Partial differential equations
- 05.45.Yv: Solitons(see 52.35.Sb for solitons in plasma; for solitons in acoustics, see 43.25.Rq—in Acoustics Appendix; see 42.50.Md, 42.65.Tg, 42.81.Dp for solitons in optics; see also 03.75.Lm in matter waves; for solitons in space plasma physics, see 94.05.Fg; for solitary waves in fluid dynamics, see 47.35.Fg)
Journal
Year
Volume
Issue
Pages
20-24
Physical description
Dates
published
2012-07
received
2011-01-06
Contributors
author
- School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P.R. China
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv122n1p06kz