World of Solitons

  • Richard H. Enns
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)


Most nonlinear PDE models that have been developed to describe the “universe,” particularly those involving many coupled equations, must be solved numerically as general analytic solutions do not exist. The Navier{Stokes (NS) equations of fluid mechanics which are used to model the motion of the Earth’s atmosphere and oceans provide a good example. The NS equations are PDE-based statements of conservation of mass, momentum, and energy and are the basis for numerically predicting future weather and climate change. These mathematical models are so complex that in order to make the predictions before the changes occur requires the use of a supercomputer.


Solitary Wave Cellular Automaton Cellular Automaton Solitary Wave Solution Cellular Automaton Model 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsSimon Fraser UniversityBurnabyCanada

Personalised recommendations