责任 发表于 2025-4-1 04:18:27

The Method of Multiple Scales and the ∈-Power Seriesdimensional reality is approximated by one-dimensional models such as the Korteweg-deVries equation. One might call this “reduction of dimension”. Second, it can be applied within the microworld of one-dimensional wave equations to generate further approximations, such as FKdV ∈-series in which the lowest order is the KdV solitary wave.

meretricious 发表于 2025-4-1 09:21:02

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让你明白 发表于 2025-4-1 13:38:36

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sed-rate 发表于 2025-4-1 15:45:26

Nonlinear Algebraic Equations the phase speed . is the eigenvalue and the shape of the wave .(.;.) is the eigenfunction. The theme of this chapter is: How to solve the discretized equivalent of such a nonlinear eigenproblem: a system of . nonlinear algebraic equations in . unknowns, depending continuously on an eigenparameter.

embolus 发表于 2025-4-1 19:18:34

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SYN 发表于 2025-4-2 00:52:20

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初学者 发表于 2025-4-2 04:39:35

Matched Asymptotic Expansions in the Complex Planeprevious chapter, the multiple scales series is a good approximation to the core of the nanopteron even though it diverges factorially. However, the ∈-power series gives no information about the radiation coefficient.

魅力 发表于 2025-4-2 08:32:16

Stokes’ Expansion, Resonance & Polycnoidal Waves, infinitely long, and infinitesimally small in amplitude. Graduate students are initiated into the next level of illumination through the counter-idealization of the soliton: also steady but for phase propagation, but spatially localized instead of infinitely delocalized, intrinsically nonlinear instead of negligibly nonlinear.

Headstrong 发表于 2025-4-2 14:07:17

Nonlinear Algebraic Equations the phase speed . is the eigenvalue and the shape of the wave .(.;.) is the eigenfunction. The theme of this chapter is: How to solve the discretized equivalent of such a nonlinear eigenproblem: a system of . nonlinear algebraic equations in . unknowns, depending continuously on an eigenparameter.

美丽的写 发表于 2025-4-2 16:31:09

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查看完整版本: Titlebook: Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics; Generalized Solitons John P. Boyd Book 1998 Springer Science+Business Med