Zobrazeno 1 - 10
of 101
pro vyhledávání: '"HABERMAN, RICHARD"'
Previous studies have shown that fractal scatterings in weak interactions of solitary waves in the generalized nonlinear Schr\"odinger equations are described by a universal second-order separatrix map. In this paper, this separatrix map is analyzed
Externí odkaz:
http://arxiv.org/abs/0903.3626
Fractal scatterings in weak solitary wave interactions is analyzed for generalized nonlinear Schr\"odiger equations (GNLS). Using asymptotic methods, these weak interactions are reduced to a universal second-order map. This map gives the same fractal
Externí odkaz:
http://arxiv.org/abs/0802.3595
Autor:
Goodman, Roy H., Haberman, Richard
We present a new and complete analysis of the n-bounce resonance and chaotic scattering in solitary wave collisions. In these phenomena, the speed at which a wave exits a collision depends in a complicated fractal way on its input speed. We present a
Externí odkaz:
http://arxiv.org/abs/nlin/0702048
Autor:
Goodman, Roy H., Haberman, Richard
We consider the interactions of two identical, orthogonally polarized vector solitons in a nonlinear optical fiber with two polarization directions, described by a coupled pair of nonlinear Schroedinger equations. We study a low-dimensional model sys
Externí odkaz:
http://arxiv.org/abs/nlin/0502056
Autor:
Goodman, Roy H., Haberman, Richard
A model of soliton-defect interactions in the sine-Gordon equations is studied using singular perturbation theory. Melnikov theory is used to derive a critical velocity for strong interactions, which is shown to be exponentially small for weak defect
Externí odkaz:
http://arxiv.org/abs/nlin/0310040
Publikováno v:
Journal (American Water Works Association), 2004 May 01. 96(5), 58-66.
Externí odkaz:
https://www.jstor.org/stable/41311636
Autor:
Haberman, Richard
Publikováno v:
SIAM Journal on Applied Mathematics, 2001 Oct 01. 62(2), 488-513.
Externí odkaz:
https://www.jstor.org/stable/3061774
Autor:
Brothers, Jerry D., Haberman, Richard
Publikováno v:
SIAM Journal on Applied Mathematics, 1998 Sep 01. 59(1), 347-364.
Externí odkaz:
https://www.jstor.org/stable/118385
Autor:
Haberman, Richard, 1945
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1971
Vita.
Includes bibliographical references.
Ph. D.
Ph. D. Massachusetts Institute of Technology, Department of Mathematics
Vita.
Includes bibliographical references.
Ph. D.
Ph. D. Massachusetts Institute of Technology, Department of Mathematics
Externí odkaz:
https://hdl.handle.net/1721.1/138617
Autor:
Bourland, F. Jay, Haberman, Richard
Publikováno v:
SIAM Journal on Applied Mathematics, 1990 Dec 01. 50(6), 1716-1744.
Externí odkaz:
https://www.jstor.org/stable/2101915