Piston Dispersive Shock Wave Problem
Journal Article
·
· Physical Review Letters
- National Institute of Standards and Technology, Boulder, Colorado 80305 (United States)
- Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309 (United States)
- Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164 (United States)
The piston shock problem is a classical result of shock wave theory. In this work, the analogous dispersive shock wave (DSW) problem for a fluid described by the nonlinear Schroedinger equation is analyzed. Asymptotic solutions are calculated for a piston (step potential) moving with uniform speed into a dispersive fluid at rest. In contrast to the classical case, there is a bifurcation of shock behavior where, for large enough piston velocities, the DSW develops a periodic wave train in its wake with vacuum points and a maximum density that remains fixed as the piston velocity is increased further. These results have application to Bose-Einstein condensates and nonlinear optics.
- OSTI ID:
- 21024810
- Journal Information:
- Physical Review Letters, Vol. 100, Issue 8; Other Information: DOI: 10.1103/PhysRevLett.100.084504; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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