Abstract
In this paper, by employing the perturbational method, we obtain a class of exact self-similar solutions of the Whitham-Broer-Kaup equations. These solutions are of polynomials-type whose forms, remarkably, coincident with that given by Yuen for the other physical models, such as the compressible Euler or Navier-Stokes equations, two-component Camassa-Holm equations and viscoelastic Burgers equations. Copyright © 2014 Ka-Luen Cheung.
Original language | English |
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Pages (from-to) | 7693-7701 |
Journal | Applied Mathematical Sciences |
Volume | 8 |
Issue number | 154 |
DOIs | |
Publication status | Published - 2014 |
Citation
Cheung, K.-L. (2014). Exact self-similar perturbational solutions of Whitham-Broer-Kaup equations. Applied Mathematical Sciences, 8(154), 7693-7701.Keywords
- Whitham-Broer-Kaup equations
- Analytical solutions
- Perturbational method
- Self-similar solution