We perform the Painlevè test to a system of two coupled Burgers-type equations which fails to satisfy the Painlevè 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.
BARRERA, F.P., BRUGARINO, T. (2006). PAINLEVE' ANALYSIS AND EXACT SOLUTIONS FOR THE COUPLET BURGERS SYSTEM. In Sixth International Conference on Advances in Fluid Mechanics (pp.297-303) [10.2495/AFM06030].
PAINLEVE' ANALYSIS AND EXACT SOLUTIONS FOR THE COUPLET BURGERS SYSTEM
BARRERA, Francesco Paolo;BRUGARINO, Tommaso
2006-01-01
Abstract
We perform the Painlevè test to a system of two coupled Burgers-type equations which fails to satisfy the Painlevè 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.
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