Integrable Nonlinear Wave Equations and Possible Connections to Tsunami Dynamics

  • M. Lakshmanan


In this article we present a brief overview of the nature of localized solitary wave structures/solutions underlying integrable nonlinear dispersive wave equations with specific reference to shallow water wave propagation and explore their possible connections to tsunami waves. In particular, we will discuss the derivation of Korteweg-de Vries family of soliton equations in unidirectional wave propagation in shallow waters and their integrability properties and the nature of soliton collisions.


Solitary Wave Tsunami Wave Solitary Wave Solution Shallow Water Wave Cnoidal Wave 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • M. Lakshmanan
    • 1
  1. 1.Centre for Nonlinear Dynamics, School of PhysicsBharathidasan UniversityTiruchirapalli

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