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Solitons and Compactons

  • Abdul-Majid Wazwaz
Part of the Nonlinear Physical Science book series (NPS)

Abstract

In 1834, John Scott Russell was the first to observe the solitary waves. He observed a large protrusion of water slowly traveling on the Edinburgh-Glasgow canal without change in shape. The bulge of water, that he observed and called “great wave of translation”, was traveling along the channel of water for a long period of time wile still retaining its shape. The remarkable discovery motivated Russell to conduct physical laboratory experiments to emphasize his observance and to study these solitary waves. He empirically derived the relation
$$ c^2 = g(h + a), $$
(11.1)

Keywords

Solitary Wave Boussinesq Equation Solitary Wave Solution Adomian Decomposition Method Exponential Tail 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Abdul-Majid Wazwaz
    • 1
  1. 1.Department of MathematicsSaint Xavier UniversityChicagoUSA

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