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.
CitationCheung, K.-L. (2014). Exact self-similar perturbational solutions of Whitham-Broer-Kaup equations. Applied Mathematical Sciences, 8(154), 7693-7701.
- Whitham-Broer-Kaup equations
- Analytical solutions
- Perturbational method
- Self-similar solution