Complex billiard Hamiltonian systems and nonlinear waves
By: Mark S. Alber, Gregory G. Luther, Jerrold E. Marsden.
Contributors: Luther, Gregory G.; Marsden, Jerrold E.; Hewlett-Packard Laboratories.
Series: [Technical report] / HP Laboratories Bristol. Basic Research Institute in the Mathematical Sciences -- HPL-BRIMS-96-12.; BRIMS technical report -- HPL-BRIMS-96-12.
Publisher: Hewlett Packard
Published: 1996
Place of publication: Bristol [England]
Language: eng
Number of pages: 14
Subjects: Hamiltonian systems; Schrödinger equation; Phase shifters
Description: Abstract: "The relationships between phase shifts, monodromy effects and billiard solutions are studied in the context of Riemann surfaces for both integrable ordinary and partial differential equations. The ideas are illustrated with the three wave interaction, the nonlinear Schrödinger equation, a coupled Dym system and the coupled nonlinear Schrödinger equations."
Notes: Cover title.

"March, 1996."

Includes bibliographical references.

Supported in part by the NSF. DMS 9403861 ; 9508711.

Supported in part by BRIMS, Hewlett-Packard Labs.

Supported in part by NSF DMS. 9508711 ; 9302992.