Equations for Nonlinear Waves on Shallow Water

摘要

Steady-state free plane surface waves are investigated in the nonlinear formulation by means of the narrow streak method. The second-order differential equation derived can readily be integrated numerically. The first approximation of the equation is integrated. The next approximation leads to a nonlinear first-order differential equation which is traditional to the problem considered and whose coefficients have a simple physical meaning.