AVERAGED STATIONARY PRINCIPLES.
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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Solutions of certain hyperbolic systems of nonlinear partial differential equations are discussed. For convenience only two independent variables are considered, namely x and t, and if the equations have coefficients which are independent of x and t one can seek plane wave solutions of the form fkx-omega t, with k and omega constant. If the coefficients have only slow explicit dependence on x and t one no longer has plane wave solutions, but one can seek solutions in the form of almost plane waves, ftheta, where kx,t is identically equal to theta sub x, omega x,t is identically equal to minus theta sub t are slowly varying functions of x and t. Author
- Numerical Mathematics