Properties of compacton-anticompacton collisions

Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.83.066705· OSTI ID:21554537

Cardenas, Andres ^[1]; Mihaila, Bogdan ^[1]; Cooper, Fred ^[2]; Saxena, Avadh ^[3]

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1. Materials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Santa Fe Institute, Santa Fe, New Mexico 87501 (United States)
3. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We study the properties of compacton-anticompacton collision processes. We compare and contrast results for the case of compacton-anticompacton solutions of the K(l,p) Rosenau-Hyman (RH) equation for l=p=2, with compacton-anticompacton solutions of the L(l,p) Cooper-Shepard-Sodano (CSS) equation for p=1 and l=3. This study is performed using a Pade discretization of the RH and CSS equations. We find a significant difference in the behavior of compacton-anticompacton scattering. For the CSS equation, the scattering can be interpreted as 'annihilation' as the wake left behind dissolves over time. In the RH equation, the numerical evidence is that multiple shocks form after the collision, which eventually lead to 'blowup' of the resulting wave form.

• OSTI ID: 21554537
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevE.83.066705; (c) 2011 American Institute of Physics; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANNIHILATION
COLLISIONS
COMPARATIVE EVALUATIONS
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS
SCATTERING
WAVE FORMS
DIFFERENTIAL EQUATIONS
EQUATIONS
EVALUATION
INTERACTIONS
PARTICLE INTERACTIONS