Search results for " Burgers-type equations"

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Painlevé analysis and exact solutions for the coupled Burgers system

2006

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.

Class (set theory)Nonlinear Sciences::Exactly Solvable and Integrable SystemsAiry functionHyperbolic functionMathematics::Classical Analysis and ODEsTraveling waveApplied mathematicsOrder (group theory)TrigonometryPainlevé Burgers-type equationsMathematicsWIT Transactions on Engineering Sciences, Vol 52
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