Inverse scattering solutions of the Hunter-Saxton equation

Applicable Analysis

Volumn 78, Issue 3-4, 2001, Pages 255-269

  Beals, Richard ^a   Sattinger, David H ^b   Szmigielski, Jacek ^c  

^a YALE UNIVERSITY   (United States)

^b UTAH STATE UNIVERSITY   (United States)

^c UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

Continued fractions; Harry Dym flows; Inverse scattering; Stieltjes

Indexed keywords

EID: 0012693456     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810108840938     Document Type: Article

References (8)

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3. Calogero, F., and Francoise, J. P., 1996. A completely integrable Hamiltonian system. Jour. Math. Phys, 37: 2863–2871.
4. Camassa, R., and Holm, D. D., 1993. An integrable shallow water equation with peaked solitons. Phys. Rev. Lett, 71: 1661–1664.
5. Camassa, R., Holm, D. D., and Hyman, J. M., 1994. A new integrable shallow water equation. Advances in Applied Mechanics, 31: 1–33.
6. Hunter, J. K., and Saxton, R., 1991. Dynamics of director fields. SIAM J. Appl. Math, 51: 1498–1521.
7. Hunter, J. K., and Zheng, Y., 1994. On a completely integrable nonlinear hyperbolic variational equation. Physica D, 79: 361–386.
8. Stieltjes, T. J., 1918. Recherches sur les fractions continues. In Oeuvres Complètes de Thomas Jan Stieltjes, 2: 402–566. P. Noordhoff