THERMAL SCIENCE
International Scientific Journal
Thermal Science - Online First
online first only
Lump solutions for the dimensionally reduced variable coefficient B-type Kadomtsev-Petviashvili equation
ABSTRACT
Based on Hirota bilinear formulation, the lump solutions to dimensionally reduced generalized variable coefficient B-type Kadomtsev-Petviashvili equation are obtained. The solution process is figured out and the solution properties are illustrated graphically. The present method can be extended to other nonlinear equations.
KEYWORDS
PAPER SUBMITTED: 2020-04-10
PAPER REVISED: 2020-06-18
PAPER ACCEPTED: 2020-06-18
PUBLISHED ONLINE: 2021-01-31
- He, J.H. Exp-function Method for Fractional Differential Equations, International Journal of Nonlinear Sciences and Numerical Simulation, 14(2013), 6, pp. 363-366
- Ablowitz M.J., Clarkson P.A., Solitions, Nonlinear Evolution Equations and Inverse Scattering, Cambridge, Cambridge University Press, (1991)
- Ji, F.Y., et al. A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar, Applied Mathematical Modelling, 82(2020), June, pp. 437-448
- He, J.H., et al. Difference equation vs differential equation on different scales, International Journal of Numerical Methods for Heat and Fluid Flow. 2020, DOI: 10.1108/HFF-03-2020-0178
- He, J.H. Asymptotic Methods for Solitary Solutions and Compactons. Abstract and Applied Analysis, 2012, Article Number: 916793
- Bekir A.,Painlevé test for some (2+1)-dimensional nonlinear equations, Chaos Solitons and Fractals, 32(2007), Feb.,pp.449-455
- Matveeev V.B., Salle MA, Darboux Transformations and Solitions, Berlin,Springers,( 1991)
- Hirota R., The direct method in solition theory, Cambridge,Cambridge University Press, (2004)
- Xing L., Ma W.X., Khalique C.M., A direct bilinear Backlund transformation of a (2+1)-dimensional Korteweg-de Vries-like model, Applied Mathematics Letters, 50(2015),pp.37-42
- Ma W.X., Trilinear equations, Bell polynomials, and resonant solutions , Frontiers of Mathematics in China, 8 ( 2013), pp. 1139-1156
- Wang, Y., Dong, Z. Z., Symmetry of a (2+1)-D System, Thermal Science, 22 (2018), Apr., pp. 1811-1822
- Zhang H., A note on exact complex travelling wave solutions for (2+1)-dimensional B-type Kadomtsev-Petviashvili equation , Applied Mathematics and Computation, 216(2010),pp. 2771-2777
- Yue, Y.F., Huang, L.L., Chen, Y., Localized waves and interaction solutions to an extended (3+1)-dimensional Jimbo-Miwa equation. Appl. Math. Lett. 89(2019), 70-77
- Ma W.X., Lump solutions to the Kadomtsev-Petviashvili equation , Physics Letters A, 379(2015) ,pp.1975-1978
- Hu, C.C., Tian, B., Wu, X.Y., Yuan, Y.Q., Du, Z., Mixed lump-kink and rogue wave-kink solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid mechanics. Eur. Phys. J. Plus 133 (2018)
- Hu, C.C., Tian, B., Yin, H.M., Zhang, C.R., Zhang, Z.,Dark breather waves, dark lump waves and lump wave soliton interactions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid. Comput. Math.Appl. 78(2019), 166-177
- Gao X.Y., Backlund transformation and shock-wave-type solutions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid mechanics , Ocean Engineering, 96(2015), pp.245-247