Properties of compacton-anticompacton collisions.

@article{Cardenas2011PropertiesOC,
  title={Properties of compacton-anticompacton collisions.},
  author={Andres Cardenas and Bogdan Mihaila and Fred Cooper and Avadh B Saxena},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 6 Pt 2},
  pages={
          066705
        }
}
  • A. CardenasB. Mihaila A. Saxena
  • Published 9 May 2011
  • Mathematics, Geology
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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 Padé discretization of the RH and CSS equations. We find a significant difference in the behavior of compacton-anticompacton scattering. For the… 
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Robustness of the absolute Rosenau–Hyman <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si595.svg" display="inline" id="d1e2698"><mml:mrow><mml:mrow><mml:mo>|</mml:mo><mml:mi>K</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml

Compacton-anticompacton collisions in the Rosenau–Hyman <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e2519" altimg="si11.svg"><mml:mrow><mml:mi>K</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>)</mml:mo></mml:mrow>

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