Numerical computations for long-wave short-wave interaction equations in semi-classical limit

Qianshun Chang, Yau Shu Wong*, Chi Kun Lin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


This paper presents and compares various numerical techniques for the long-wave short-wave interaction equations. In addition to the standard explicit, implicit schemes and the spectral methods, a novel scheme SRK which is based on a time-splitting approach combined with the Runge-Kutta method is presented. We demonstrate that not only the SRK scheme is efficient compared to the split step spectral methods, but it can apply directly to problems with general boundary conditions. The conservation properties of the numerical schemes are discussed. Numerical simulations are reported for case studies with different types of initial data. The present study enhances our understanding of the behavior of nonlinear dispersive waves in the semi-classical limit.

Original languageEnglish
Pages (from-to)8489-8507
Number of pages19
JournalJournal of Computational Physics
Issue number19
Publication statusPublished - 1 Oct 2008
Externally publishedYes


  • Finite-difference schemes
  • Long-wave short-wave interaction equations
  • Numerical methods
  • Semi-classical limit

Cite this