Exact Solutions and Localized Structures for a (3+1)-Dimensional Burgers Equation

• Authors: Y. Peng
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

05.45.Yv; 02.30.Jr; 02.30.Ik

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)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 1
• Pages: 20-24

Dates

published

2012-07

received

2011-01-06

Contributors

author

Y. Peng

• School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P.R. China

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Identifiers

DOI

10.12693/APhysPolA.122.20