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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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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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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