浮雕宝石
发表于 2025-3-25 06:00:23
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thrombosis
发表于 2025-3-25 07:39:48
Immaculate K. Namukas,Ronald Buyesic approach to constructing a wide variety of integrable bi-Hamiltonian equations. In addition to usual soliton equations, these new hierarchies include equations with nonlinear dispersion which support novel types of solitonic solutions.
BOLT
发表于 2025-3-25 14:37:38
Automorphic Pseudodifferential Operators,ilinear maps on the space of modular forms on Γ defined by certain bilinear combinations of derivatives; the definition will be recalled later). This was already discussed briefly in the earlier paper , where it was given as one of several “raisons d’être” for the Rankin-Cohen brackets.
hermetic
发表于 2025-3-25 15:50:44
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Atmosphere
发表于 2025-3-25 23:17:05
,On τ-Functions of Zakharov—Shabat and Other Matrix Hierarchies of Integrable Equations,rarchy is used. This method goes immediately from definitions and does not require any assumption about the character of a solution, being the most general. Applied to the matrix hierarchies, this involves considerable sophistication. The paper is self-contained and does not expect any special prerequisite from a reader.
PANG
发表于 2025-3-26 03:33:41
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ADORE
发表于 2025-3-26 05:33:01
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商谈
发表于 2025-3-26 10:09:33
Obstacles to Asymptotic Integrability,d in this paper is an extension of the normal form theory developed by Kodama and the approximate symmetry approach proposed by Mikhailov. We also discuss the case of the KP equation with the higher order corrections, a quasi-two dimensional extension of weakly dispersive nonlinear waves.
cacophony
发表于 2025-3-26 16:07:52
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煤渣
发表于 2025-3-26 19:36:18
https://doi.org/10.1007/978-3-319-29367-7rarchy is used. This method goes immediately from definitions and does not require any assumption about the character of a solution, being the most general. Applied to the matrix hierarchies, this involves considerable sophistication. The paper is self-contained and does not expect any special prerequisite from a reader.