THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

NEW EXACT SOLUTIONS OF THE(2+1)-DIMENSIONAL BROER-KAUP EQUATION BY THE CONSISTENT RICCATI EXPANSION METHOD

ABSTRACT
In this work, we study the (2+1)-D Broer-Kaup equation. The composite periodic breather wave, the exact composite kink breather wave and the solitary wave solutions are obtained by using the coupled degradation technique and the consistent Riccati expansion method. These results may help us to investigate some complex dynamical behaviors and the interaction between composite non-linear waves in high dimensional models.
KEYWORDS
PAPER SUBMITTED: 2016-08-18
PAPER REVISED: 2016-08-26
PAPER ACCEPTED: 2016-10-16
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI160818069J
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE 4, PAGES [1783 - 1788]
REFERENCES
  1. Li, D. S., Zhang, H. Q., Some New Types of Multi Soliton Solutions for the (2+1)-Dimensional Higher-order Broer-Kaup System, Applied Mathematics and Computation, 152 (2004), 3, pp. 847-853
  2. Yomba, E., Peng, Y. Z., Fission, Fusion and Annihilation in the Interaction of Localized Structures for the (2+1)-Dimensional Generalized Broer-Kaup System, Chaos, Solitons & Fractals, 28 (2006), 3, pp. 650-667
  3. Dai, C. Q., et al., Exotic Localized Structures Based on a Variable Separation Solution of the (2+1)-Dimensional Higher-Order Broer-Kaup System, Nonlinear Analysis: Real World Applications, 10 (2009), 1, pp. 259-265
  4. Qiang, J. Y., et al., Fusion and Fission Solitons for the (2+1)-Dimensional Generalized Broer-Kaup Sys-tem, Chinese Physics B, 19 (2010), 9, pp. 106-111
  5. Zhang, S. L., et al., Painleve Analysis and Special Solutions of Generalized Broer-Kaup Equations, Physics Letters A, 300 (2002), 1, pp. 40-48
  6. Kumar, S., et al., Painleve Analysis, Lie Symmetries and Exact Solutions for (2+1)-Dimensional Varia-ble Coefficients Broer-Kaup Equations, Communications in Nonlinear Science and Numerical Simula-tion, 17 (2012), 4, pp. 1529-1541
  7. Zhu, J. M., Ma, Z. Y, New Exact Solutions to the (2+1)-Dimensional Broer-Kaup Equation, Chaos, Soli-tons & Fractals, 34 (2007), 2, pp. 476-481
  8. Lou, S. Y., Consistent Riccati Expansion for Integrable Systems, Studies in Applied Mathematics, 134 (2015), 3, pp. 372-402

© 2017 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence