THERMAL SCIENCE
International Scientific Journal
A GENERAL SUB-EQUATION METHOD TO THE BURGERS-LIKE EQUATION
ABSTRACT
A Burgers-like equation is studied by a general sub-equation method, and some new exact solutions are obtained, which include the traveling wave solutions, non-traveling wave solutions, multi-soliton solutions, rational solutions, and other types of solutions. The obtained results are important in thermal science, and potential applications can be found.
KEYWORDS
PAPER SUBMITTED: 2016-08-12
PAPER REVISED: 2016-08-25
PAPER ACCEPTED: 2016-08-28
PUBLISHED ONLINE: 2017-09-09
THERMAL SCIENCE YEAR
2017, VOLUME
21, ISSUE
Issue 4, PAGES [1681 - 1687]
- Ablowitz, M. J. Clarkson, P. A., Solitons, Non-linear Evolution Equations and Inverse Scattering, Cam-bridge University Press, Cambridge, UK, 1991
- Miura, R. M., Backlund Transformation, Springer Press, Berlin, 1978
- Wang, M. L., et al., Applications of a Homogeneous Balance Method to Exact Solutions of Non-linear Equations in Mathematical Physics, Physics Letters A, 216 (1996 ), 1-5, pp. 67-75
- Fan, E. G., Hon, Y. C., Applications of Extended tanh Method to Special Types of Non-linear Equations, Applied Mathematics and Computation, 141 (2003), 2-3, pp. 351-358
- Zhou, Y. B., et al., Periodic Wave Solutions to a Coupled KdV Equations with Variable Coefficients, Physics Letters A, 308 (2003), 1, pp. 31-36
- Li, X. Z., Wang, M. L., A Sub-ODE Method for Finding Exact Solutions of a Generalized KdV-mKdV Equation with Higher Order Non-linear Terms, Physics Letters A, 361 (2007), 1, pp. 115-118
- He, J.-H., Wu, X. H., Exp-Function Method for Non-linear Wave Equations, Chaos, Solitons & Frac-tals, 30 (2006), 3, pp. 700-708
- Zhang, S., Direct Algorithm of Exp-Function Method for Non-Linear Evolution Equations in Fluids, Thermal Science, 20 (2016), 3, pp. 881-884
- Wang, M. L. et al., The (G'/G)-Expansion Method and Travelling Wave Solutions of Non-linear Evolu-tion Equations in Mathematical Physics, Physics Letters A, 372 (2008), 4, pp. 417-423
- Tian, Y., Yan, Z. Z., Travelling Wave Solutions for a Surface Wave Equation in Fluid Mechanics, Thermal Science, 20 (2016), 3, pp. 893-898
- Bilige, S. D., Wang, X. M., A Generalized Simpl-Est Equation Method and its Application to the Bous-sinesq-Burgers Equation, Plos One, 10 (2015), 5, ID 126635
- Bulut, H., et al., New Mul-tiple Solution to the Boussinesq Equation and the Burgers-like Equation, Journal of Applied Mathematics, 2013 (2013), ID 952614