THERMAL SCIENCE
International Scientific Journal
RATIONAL SOLUTIONS TO AN CAUDREY-DODD-GIBBON-SAWADA-KOTERA-LIKE EQUATION
ABSTRACT
This paper applies an improved Hirota bilinear differential operator to obtain a Caudrey-Dodd-Gibbon-Sawada-Kotera-like (CDGSK-like) equation, and two classes of rational solutions are obtained.
KEYWORDS
PAPER SUBMITTED: 2015-11-01
PAPER REVISED: 2015-12-10
PAPER ACCEPTED: 2016-02-01
PUBLISHED ONLINE: 2016-08-13
THERMAL SCIENCE YEAR
2016, VOLUME
20, ISSUE
Issue 3, PAGES [871 - 874]
- He, J.-H., An Alternative Approach to Establishment of a Variational Principle for the Torsional Problem of Piezoelastic Beams, Applied Mathematics Letters, 52 (2016), Feb., pp. 1-3
- Ma, H. C., et al., Lie Symmetry and Exact Solution of (2+1)-Dimensional Generalized KP Equation with Variable Coefficients, Thermal Science, 17 (2013), 5, pp. 1490-1493
- Ma, H. C., et al., Lie Symmetry Group of (2+1)-Dimensional Jaulent-Miodek Equation, Thermal Science, 18 (2014), 5, pp. 1547-1552
- Ma, H. C., et al., Exact Solutions of Non-Linear Fractional Partial Differential Equations by Fractional Sub-Equation Method, Thermal Science, 19 (2015), 4, pp. 1239-1244
- Ma, H. C., et al., Improved Hyperbolic Function Method and Exact Solutions for Variable Coefficient Benjamin-Bona-Mahony-Burgers Equation, Thermal Science, 19 (2015), 4, pp. 1183-1187
- Ablowitz, M. J., Clark son, P. A., Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge, UK, 1991
- Wu, G. C., et al., Lattice Fractional Diffusion Equation in Terms of a Riesz-Caputo Difference, Physica A, 438 (2015), Nov., pp. 335-339
- Wu, G. C., et al., Discrete Fractional Diffusion Equation, Nonlinear Dynamics, 80 (2015), 1, pp. 281-286
- Ma, W. X., You, Y., Rational Solutions of the Toda Lattice Equation in Casoratian Form, Chaos, Solitons & Fractals, 22 (2004), 2, pp. 395-406
- Hietarinta, J., Hirota's Bilinear Method and Soliton Solutions, Physics Auc, 15 (2005), 1, pp. 31-37
- Sawada, K., Kotera, T., A Method for Finding N-Soliton Solutions of the KdV Equation and KdV-Like Equation, Progress of Theoretical Physics, 51 (1974), 5, pp. 1355-1367
- Caudrey, P., et al., A New Hierarchy of Korteweg-de Vries Equations, Proceedings, Royal Society A: Mathematical Physical & Engineering Sciences, 351 (1976), 1666, pp. 407-422
- Aiyer, R., et al., Solitons and Discrete Eigen-Functions of the Recursion Operator of Non-Linear Evolution Equations. I. the Caudrey-Dodd-Gibbon-Sawada-Kotera Equation, Journal of Physics A: Mathematical & Theoretical, 19 (1986), 18, pp. 3755-3770
- Ma, W. X., Generalized Bilinear Differential Equations, Studies in Nonlinear Sciences, 2 (2011), 4, pp. 140-144
- Ma, W. X., Bilinear Equations, Bell Polynomials and Linear Superposition Principle, Journal of Physics Conference Series, 411 (2013), 1, pp. 12-21