Nonlinear Model Equations and Variational Principles
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.
KeywordsVariational Principle Water Wave Nonlinear Partial Differential Equation Boussinesq Equation Potential Energy Versus
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