Photo from academic.microsoft.com
We investigate periodic traveling-wave solutions to the Whitham equation. It is shown that for solutions of this type, the Whitham equation can be expressed as a nonlinear integral equation of… Click to show full abstract
We investigate periodic traveling-wave solutions to the Whitham equation. It is shown that for solutions of this type, the Whitham equation can be expressed as a nonlinear integral equation of Hammerstein form. Solutions to this integral equation are then obtained by iteration. Representative numerical results are presented to illustrate the waveshapes and the nonlinear dispersion characteristics of the solutions thus obtained.
Keywords:
wave solutions;
solutions whitham;
whitham equation;
periodic traveling;
equation;
traveling wave
Journal Title: Mathematical Modelling of Natural Phenomena
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematical Modelling of Natural Phenomena
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!