THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

A NEW (2+1)-D MZK-BURGERS MODEL FOR NON-LINEAR ROSSBY WAVES ASWELL AS THE ANALYTICAL SOLUTION

ABSTRACT
In the paper, based on the quasi-geostrophic potential vorticity equation with topography effect, we derived a modified ZakharovKuznetsor (mZK)-Burgers equation by employing multiscale analysis and perturbation method. The model can be described the propagation of the nonlinear long wave and solitary eddy. The exact solutions are given by virtue of the (G'/G)-expansion method to analyze wave propagation characteristics.
KEYWORDS
PAPER SUBMITTED: 2023-03-09
PAPER REVISED: 2023-05-19
PAPER ACCEPTED: 2023-06-20
PUBLISHED ONLINE: 2023-11-05
DOI REFERENCE: https://doi.org/10.2298/TSCI2305883W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 5, PAGES [3883 - 3888]
REFERENCES
  1. Pedlosky, J., Geophysical fluid dynamics, Springer, New York, USA, 1979
  2. Hirota, R., Exact Solution of the Korteweg-de Vries equation for Multiple Collisions of Solitons, Physical Review Letters, 27 (1971), 18, pp. 1192-1194
  3. Yang, X. J., et al., On Exact Traveling-Wave Solutions for Local Fractional Korteweg-de Vries Equation, Chaos, 26 (2016), 8, pp. 1-6
  4. Yang, X. J., et al., Exact Traveling-Wave Solution for Local Fractional Boussinesq Equation in Fractal Domain, Fractals, 25 (2017), 4, ID 1740006
  5. Liu, W., et al., Some Generalized Coupled Nonlinear Schrödinger Equations and Conservation Laws, Modern Physics Letters B, 31 (2017), 32, ID 1750299
  6. Yang, H. Y., et al., Time-Fractional Benjamin-Ono Equation for Algebraic Gravity Solitary Waves in Baroclinic Atmosphere and Exact Multi-Soliton Solution as well as Interaction, Communications in Nonlinear Science and Numerical Simulation, 71 (2019), 25, pp. 187-201
  7. Yang, H. W., et al., A New ZK-BO Equation for Three-Dimensional Algebraic Rossby Solitary Waves and its Solution as well as Fission Property, Nonlinear Dynamics, 91 (2017), 3, pp. 2019-2032
  8. Fan, E., et al., A Note on the Homogeneous Balance Method, Physics Letters A, 246 (1998), 5, pp. 403-406
  9. Zhang, Y., et al., A Modified Bäcklund Transformation and Multi-Soliton Solution for the Boussinesq Equation, Chaos, Solitons & Fractals, 23 (2005), 1, pp. 175-181
  10. Yin, H. M., et al., Solitons and Bilinear Bäcklund Transformations for a (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation in a Liquid or Lattice, Applied Mathematics Letters, 58 (2016), 5, pp. 178-183
  11. Chen, Y., et al., Extended Jacobi Elliptic Function Rational Expansion Method and Abundant Families of Jacobi Elliptic Function Solutions to (1+1)-Dimensional Dispersive Long Wave Equation, Chaos, Solitons & Fractals, 24 (2005), 3, pp. 745-757
  12. Abdou, M. A., et al., Construction of Periodic and Solitary Wave Solutions by the Extended Jacobi Elliptic Function Expansion Method, Communications in Nonlinear Science & Numerical Simulation, 12 (2007), 7, pp. 1229-1241
  13. Liu, W. J., Soliton Interaction in the Higher-Order Nonlinear Schrödinger Equation Investigated with Hirota's Bilinear Method, Physical Review E, 77 (2008), 6, ID 066605
  14. Wang, M., et al., The (G'/G)-Expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations in Mathematical Physics, Physics Letters A, 372 (2008), 4, pp. 417-423
  15. Zhao, B. J., et al., Forced Solitary Wave and Vorticity with Topography Effect in Quasi-Geostrophic Modelling, Advances in Mechanical Engineering, 15 (2023), 1, pp. 39-49
  16. Naher, H., et al., The Basic (G'/G)-Expansion Method for the Fourth Order Boussinesq Equation, Applied Mathematics, 3 (2012), 10, pp. 1144-1152

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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