Exact self-similar perturbational solutions of Whitham-Broer-Kaup equations

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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 languageEnglish
Pages (from-to)7693-7701
JournalApplied Mathematical Sciences
Volume8
Issue number154
DOIs
Publication statusPublished - 2014

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Camassa-Holm Equation
Coincident
Self-similar Solutions
Burgers Equation
Physical Model
Euler
Navier-Stokes Equations
Polynomial
Class
Form

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