Piston dispersive shock wave problem

Physical Review Letters

Volumn 100, Issue 8, 2008, Pages

  Hoefer, M A ^a   Ablowitz, M J ^b   Engels, P ^c  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b UNIVERSITY OF COLORADO   (United States)

^c WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; NONLINEAR OPTICS; PISTONS; PROBLEM SOLVING; SCHRODINGER EQUATION;

DISPERSIVE FLUID; PERIODIC WAVE TRAIN; STEP POTENTIAL; VACUUM POINTS;

SHOCK WAVES;

EID: 40849125529     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.084504     Document Type: Article

References (21)

1. Z. Dutton, Science 293, 663 (2001); SCIEAS 0036-8075 10.1126/science. 1062527
2. T.P. Simula, Phys. Rev. Lett. 94, 080404 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.080404
3. M.A. Hoefer, Phys. Rev. A 74, 023623 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.023623
4. W. Wan, S. Jia, and J.W. Fleischer, Nature Phys. 3, 46 (2007). NPAHAX 1745-2481 10.1038/nphys486
5. M.A. Hoefer and M.J. Ablowitz, Physica (Amsterdam) 236D, 44 (2007). PDNPDT 0167-2789 10.1016/j.physd.2007.07.017
6. J. Kevorkian, Partial Differential Equations, Analytical Solution Techniques (Springer, New York, 2000), 2nd ed.
7. G.B. Whitham, Proc. R. Soc. A PRLAAZ 0080-4630 283, 238 (1965). 10.1098/rspa.1965.0019
8. A.V. Gurevich and L.P. Pitaevskii, Sov. Phys. JETP 38, 291 (1974). SPHJAR 0038-5646
9. G.A. El, R.H.J. Grimshaw, and A.M. Kamchatnov, J. Fluid Mech. 585, 213 (2007). JFLSA7 0022-1120 10.1017/S0022112007006817
10. A.V. Gurevich and A.L. Krylov, Sov. Phys. JETP 65, 944 (1987); SPHJAR 0038-5646
11. G.A. El, Physica (Amsterdam) 87D, 186 (1995). PDNPDT 0167-2789 10.1016/0167-2789(95)00147-V
12. A.M. Kamchatnov, A. Gammal, and R.A. Kraenkel, Phys. Rev. A 69, 063605 (2004); PLRAAN 1050-2947 10.1103/PhysRevA.69.063605
13. M. Zak and I. Kulikov, Phys. Lett. A 307, 99 (2003). PYLAAG 0375-9601 10.1016/S0375-9601(02)01669-9
14. Y. Kodama, SIAM J. Appl. Math. 59, 2162 (1999). SMJMAP 0036-1399 10.1137/S0036139997328155
15. G. Biondini and Y. Kodama, J. Nonlinear Sci. JNSCEK 0938-8974 16, 435 (2006). 10.1007/s00332-005-0733-2
16. A.V. Gurevich, Sov. Phys. JETP 81, 87 (1995); SPHJAR 0038-5646
17. A.V. Gurevich Sov. Phys. JETP 82, 709 (1996); SPHJAR 0038-5646
18. G.A. El, V.V. Khodorovskii, and A.V. Tyurina, Phys. Lett. A 333, 334 (2004); PYLAAG 0375-9601 10.1016/j.physleta.2004.10.036
19. G.A. El and A.M. Kamchatnov, Phys. Lett. A 350, 192 (2006). PYLAAG 0375-9601 10.1016/j.physleta.2005.08.099
20. V. Perez-Garcia, H. Michinel, and H. Herrero, Phys. Rev. A 57, 3837 (1998). PLRAAN 1050-2947 10.1103/PhysRevA.57.3837
21. R.W. Boyd, Nonlinear Optics (Academic, New York, 2003).