THERMAL SCIENCE

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Hong-Cai Ma

,

Xiao-Fang Peng

,

Dan-Dan Yao

IMPROVED HYPERBOLIC FUNCTION METHOD AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT BENJAMIN-BONA-MAHONY-BURGERS EQUATION

ABSTRACT
By using the improved hyperbolic function method, we investigate the variable coefficient Benjamin-Bona-Mahony-Burgers equation which is very important in fluid mechanics. Some exact solutions are obtained. Under some conditions, the periodic wave leads to the kink-like wave.
KEYWORDS
Benjamin-Bona-Mahony-Burgers equation, exact solutions, hyperbolic function method
PAPER SUBMITTED: 2015-01-05
PAPER REVISED: 2015-02-27
PAPER ACCEPTED: 2015-03-31
PUBLISHED ONLINE: 2015-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI1504183M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Issue 4, PAGES [1183 - 1187]
REFERENCES
  1. Zhang, P., Lin, F. H., Lectures on the Analysis of Non-Linear Partial Differential Equations, Higher Education Press, Beijing, China, 2013
  2. Bona, J. L., Smith, R., The Initial-Value Problem for the Korteweg-de Vries Equation, Philosophical Transactions of the Royal Society of London Series A, 278 (1975), 1287, pp. 555-601
  3. Benjamin, T. B., et al., Model Equations for Long Waves in Non-Linear Dispersive Systems, Philosophical Transactions of the Royal Society of London Series A, 272 (1972), 1220, pp. 47-78
  4. Peregrine, D. H., Calculations of the Development of an Under Bore, Journal of Fluid Mechanics, 25 (1966), 2, pp. 321-326
  5. Mei, M., Large-Time Behavior of Solution for Generalized Benjamin-Bona-Mahony-Burgers Equations, Non-Linear Analysis, 33 (1998), 7, pp. 699-714
  6. Kumar, V., et al., Painleve Analysis, Lie Symmetries and Exact Solutions for Variable Coefficients Benjamin- Bona-Mahony-Burger (BBMB) Equation, Communications in Theoretical Physics, 60 (2013), 2, pp. 175-182
  7. Tari, H., Ganji, D. D., Approximate Explicit Solutions of Non-Linear BBMB Equation by He's Methods and Comparison with the Exact Solution, Physics Letters A, 367 (2007), 1, pp. 95-101
  8. Kadri, T., et al., Methods for the Numerical Solution of the Benjamin-Bona-Mahony-Burgers Equation, Numer. Math. Partial. Diff. Eq., 24 (2008), 6, pp. 1501-1516
  9. Shi, Y., et al., Exact Solutions of Generalized Burgers' Equation with Variable Coefficients, East China Normal University Transaction, 5 (2006), pp. 27-34
  10. Shi, Y. R., et al., Exact Solutions of Variable Coefficients Burgers' Equations, Journal of Lanzhou University (Natural Sciences), 41 (2005), 2, pp. 107-112
  11. Wang, M., et al., Application of a Homogeneous Balance Method to Exact Solutions of Non-Linear Equations in Mathematical Physics, Physics Letters A, 216 (1996), 1, pp. 67-75
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IMPROVED HYPERBOLIC FUNCTION METHOD AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT BENJAMIN-BONA-MAHONY-BURGERS EQUATION

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