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摘要
We consider a nonlinear wave equation with a quasilinear quadratic nonlinearity. Slow spatial and temporal modulations of the envelope of an underlying carrier wave ei(k0x-0t) can be described formally by an NLS equation. It is the purpose of this paper to present a method which allows to prove error estimates between this formal approximation and true solutions of the quasilinear wave equation in case k0=0. The paper contains the first validity proof of the NLS approximation for a nonlinear wave equation with quasilinear quadratic terms.
- 出版日期2015-2
