Compactons in PT-symmetric generalized Korteweg-de Vries equations
Journal Article
·
· Nonlinearity
OSTI ID:960768
- Los Alamos National Laboratory
- WASHINGTON UNIV
- SANTA FE INSTITUTE
- INSTITUTE OF PHYSICS
In an earlier paper Cooper, Shepard, and Sodano introduced a generalized KdV equation that can exhibit the kinds of compacton solitary waves that were first seen in equations studied by Rosenau and Hyman. This paper considers the PT-symmetric extensions of the equations examined by Cooper, Shepard, and Sodano. From the scaling properties of the PT-symmetric equations a general theorem relating the energy, momentum, and velocity of any solitary-wave solution of the generalized KdV equation is derived, and it is shown that the velocity of the solitons is determined by their amplitude, width, and momentum.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 960768
- Report Number(s):
- LA-UR-08-07131; LA-UR-08-7131; TRN: US1002630
- Journal Information:
- Nonlinearity, Journal Name: Nonlinearity; ISSN 0951-7715
- Country of Publication:
- United States
- Language:
- English
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