Wilton ripples in weakly nonlinear model equations

Wilton ripples in weakly nonlinear model equations
复制标题

弱非线性模型方程中的威尔顿波纹

DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
W. Gao
W. Gao
中科院分区：
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文献类型：
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作者：
B. Akers;W. Gao

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抽象的。在一个家庭的非线性模型方程计算支持在共振频率的旅行近双色的解决方案。威尔顿展开计算这些解决方案的所有订单，并作为计算近双色行波微扰数值方法的基础。微扰法依赖于解关于波幅的解析性。结果进行了比较，一个非微扰连续方法，并提出了一种方法证明解析解。
Abstract. Traveling near-bichromatic solutions supported at resonant frequencies are computed in a family of nonlinear model equations. Wilton’s expansion is calculated for these solutions to all orders, and used as the basis for a perturbative numerical method for computing near-bichromatic traveling waves. The perturbative method relies on the analyticity of solutions with respect to wave amplitude. Results are compared to a non-perturbative continuation method, and a method for proving analyticity of solutions is proposed.