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Wave interactions for a nonlinear degenerate wave equations

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  • Yujin Liu

    (Shandong University of Technology)

Abstract

This paper is concerned with the interactions of the elementary waves for the nonlinear degenerate wave equations. By analyzing the expressions of the elementary waves and the relative locations of the left state U l and the right state U r in the phase plane (u, v) we deal with the interactions of the elementary waves, especially the overtaking of shock wave and rarefaction wave from the same family.

Suggested Citation

  • Yujin Liu, 2012. "Wave interactions for a nonlinear degenerate wave equations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 43(3), pages 279-300, June.
    • Handle: RePEc:spr:indpam:v:43:y:2012:i:3:d:10.1007_s13226-012-0015-2
    DOI: 10.1007/s13226-012-0015-2
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