Generalized Variational Principle for Long Water-Wave Equation by He's Semi-Inverse Method

الملخص EN

Variational principles for nonlinear partial differential equations have come to play an important role in mathematics and physics.

However, it is well known that not every nonlinear partial differential equation admits a variational formula.

In this paper, He's semi-inverse method is used to construct a family of variational principles for the long water-wave problem.