Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity

Chong C.; Schneider G.

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Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity

机译：拟线性二次非线性系统中NLS逼近有效性的数值证据

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The Nonlinear Schr?dinger (NLS) equation is a universal amplitude equation which can be derived for the description of small spatio-temporal modulations of an underlying carrier wave. The validity of this approximation for general dispersive wave systems possessing a quasilinear quadratic nonlinearity is an open problem that has remained unsolved for more than four decades. We report results on a systematic numerical simulation of such a quasilinear wave equation which strongly support the validity claim.

机译：非线性薛定er（NLS）方程是一个通用的振幅方程，可以用来描述基础载波的小时空调制。这种近似对于具有拟线性二次非线性的一般色散波系统的有效性是一个开放的问题，至今已有40多年未解决。我们报告了对这样的准线性波动方程的系统数值模拟的结果，该方程强烈支持有效性声明。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2013年第9期|共9页
作者
Chong C.; Schneider G.;
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正文语种 eng
中图分类 51.9;
关键词
Multiple scale approximation; Numerical experiments.;

机译：多尺度近似;数值实验;

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1. Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity [J] . Chong C., Schneider G. Zeitschrift fur Angewandte Mathematik und Mechanik . 2013,第9期

机译：拟线性二次非线性系统中NLS逼近有效性的数值证据
2. LOCAL REGULARITY OF WEAK SOLUTIONS TO QUASILINEAR ELLIPTIC SYSTEMS WITH ONE-SIDED CONDITION ON QUADRATIC NONLINEARITY IN THE GRADIENT [J] . A. A. Arkhipova Journal of Mathematical Sciences . 2021,第4期

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8. Numerical Approximations for Nonlinear Stochastic Systems With Delays [R] . Kushner, H. J. 2004

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Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity

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