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- W1992553726 abstract "A multiple-scale perturbation solution of initial-boundary value problems for weakly nonlinear wave equations on the semi-infinite line is derived. The presence of both initial and boundary data requires the introduction of two new variables, a slow time and a slow space variable. It is shown that when the nonlinearities involve only first-order derivatives of the dependent variable, the leading-order solution is governed by two coupled first-order partial differential equations (PDEs). Examples are given to show that these PDEs can sometimes be solved to determine the leading-order solution." @default.
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- W1992553726 date "1992-08-01" @default.
- W1992553726 modified "2023-10-17" @default.
- W1992553726 title "Multiple-Scale Solution of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations on the Semi-Infinite Line" @default.
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- W1992553726 doi "https://doi.org/10.1137/0152054" @default.
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