THE NONLINEAR CAUSTIC

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Published: Dec 1, 1991
DOI: https://doi.org/10.5556/j.tkjm.22.1991.4624
Keywords:
stretching transformation nonlinear Airy equation asymptotic behavior

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KIN-CHUNG NG
Department of Mathematics, Tamkang University, Tamsui, Taipei, R. O. C.

Abstract




In this paper the boundary layer at the nonlinear caustic is discussed and a nonlinear Airy equation is,obtained by adapting techniques from linear theory. It is shown that the incident beam undergoes a phase shift by an amount of $\pi/2$ as it passes through the caustic and becomes the outgoing beam.




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How to Cite
NG, K.-C. (1991). THE NONLINEAR CAUSTIC. Tamkang Journal of Mathematics, 22(4), 353–370. https://doi.org/10.5556/j.tkjm.22.1991.4624
Issue
Vol. 22 No. 4 (1991)
Section
Papers
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References

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