Nonlinear Model Equations and Variational Principles

  • Lokenath Debnath

Abstract

This chapter deals with the basic ideas and some important nonlinear model equations which arise in a wide variety of physical problems. This is followed by variational principles and the Euler-Lagrange equations. Also included are Plateau’s problem, Hamilton’s principle, Lagrange’s equations, Hamilton’s equations, the variational principle for nonlinear Klein-Gordon equations, and the variational principle for nonlinear water waves.

Keywords

Combustion Convection Europe Soliton Schiff 

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Lokenath Debnath
    • 1
  1. 1.Department of MathematicsUniversity of Central FloridaOrlandoUSA

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