6533b825fe1ef96bd12828d2
RESEARCH PRODUCT
Painlevé analysis and exact solutions for the coupled Burgers system
P. BarreraT. Brugarinosubject
Class (set theory)Nonlinear Sciences::Exactly Solvable and Integrable SystemsAiry functionHyperbolic functionMathematics::Classical Analysis and ODEsTraveling waveApplied mathematicsOrder (group theory)TrigonometryPainlevé Burgers-type equationsMathematicsdescription
We perform the Painleve test to a system of two coupled Burgers-type equations which fails to satisfy the Painleve test. In order to obtain a class of solutions, we use a slightly modified version of the test. These solutions are expressed in terms of the Airy functions. We also give the travelling wave solutions, expressed in terms of the trigonometric and hyperbolic functions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-04-19 | WIT Transactions on Engineering Sciences, Vol 52 |