Compactons in PT-symmetric generalized Korteweg-de Vries equations

Journal Article · Tue Jan 01 00:00:00 EST 2008 · Nonlinearity

OSTI ID:960768

Saxena, Avadh B ^[1]; Mihaila, Bogdan ^[1]; Bender, Carl M ^[2]; Cooper, Fred ^[3]; Khare, Avinash ^[4]

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1. Los Alamos National Laboratory
2. WASHINGTON UNIV
3. SANTA FE INSTITUTE
4. 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

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ENERGY
EQUATIONS
KORTEWEG-DE VRIES EQUATION
P INVARIANCE
SCALING
SOLITONS
SOLUTIONS
T INVARIANCE
VELOCITY
WIDTH