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Exact solutions for KdV system equations hierarchy are obtained by using the inverse scattering transform. Exact solutions of isospectral KdV hierarchy, nonisospectral KdV hierarchies and τ-equations related to the KdV spectral problem are obtained by reduction. The interaction of two solitons is investigated. 相似文献
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Yuya Mizuno 《代数通讯》2013,41(4):1654-1667
Inspired by τ-tilting theory [3], we introduce the notion of ν-stable support τ-tilting modules. For any finite dimensional selfinjective algebra Λ, we give bijections between two-term tilting complexes in K b (proj Λ), ν-stable support τ-tilting Λ-modules, and ν-stable functorially finite torsion classes in modΛ. Moreover, these objects correspond bijectively to selfinjective cluster tilting objects in 𝒞 if Λ is a 2-CY tilted algebra associated with a Hom-finite 2-CY triangulated category 𝒞. We also study some properties of support τ-tilting modules over 2-CY tilted algebras, and we give a necessary condition such that algebras are 2-CY tilted in terms of support τ-tilting modules. 相似文献
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实验考察了立式氧碘化学激光器的工作性能。在氯气流量为82 mmol/s,无主稀释气的条件下,输出功率约1.3 kW,化学效率达到16.9%。分别与以氦气和氮气为稀释气的氧碘化学激光器进行了主要参数的比较(He-COIL在氯气流量110 mmol/s时,输出功率为2.4 kW;N2-COIL在氯气流量115 mmol/s时,输出功率为2.6 kW;立式氧碘化学激光器在氯气流量115 mmol/s时,输出功率为1.32 kW),结果表明该COIL装置初步实验结果与传统的He-COIL和N2-COIL相比还存在很大差距。但通过对实验结果的深入分析得知,若进一步降低单重态氧发生器的pτres值,缩短超音速喷管中亚音速段的氧碘混合长度或采用超音速段氧碘混合方式,使该立式氧碘化学激光器在无主稀释气的条件下运行且达到与He-COIL和N2-COIL相当的功率水平是可以实现的。 相似文献
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Stavros Iliadis 《Topology and its Applications》2010,157(17):2646-2658
In this paper by a spectrum of mappings we mean a morphism of spectra of spaces. However, using the notion of a mapping of mappings, we give the definition of a spectrum of mappings similar to that of a spectrum of spaces. In this case, the formulations of the given results are also similar to the formulations of the corresponding results concerning the spectra of spaces.For the spectra of mappings we define the notion of a τ-spectrum of mappings factorizing in a special sense and prove a version of the Spectral Theorem for such spectra. Furthermore, to a given indexed collection F of mapping we associate a τ-spectrum factorizing in the above special sense whose mappings are Containing Mappings for F constructed in Iliadis (2005) [4]. These associated τ-spectra and the corresponding version of the Spectral Theorem imply that for a given indexed collection F of mappings any so-called “natural” τ-spectrum for F factorizing in the special sense contains a cofinal and τ-closed subspectrum whose mappings are Containing Mapping for F. Thus, Containing Mappigs for F appear here without any concrete construction. The associated τ-spectra are used also in order to define and characterize the so-called second-type saturated classes of mappings (which are “saturated” by universal elements). 相似文献
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Let M R be a right R-module over a ring R with S = End(M R ). We study the coherence of the left S-module S M relative to a hereditary torsion theory for the category of right R-modules. Various results are developed, many extending known results. 相似文献
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张人智 《南昌大学学报(理科版)》1992,16(1):1
假设S是有0,1的半群,τ是S-系的遗传扭论,对任意的右S-系M,Tτ(M)是M的τ-扭根。x∈Tτ(M)当且仅当存在某个τ-稠密右同余ρ,使得对任意的(S1,S2)∈ρ均有xs1=xs2,同时,当右S-系M是τ-扭自由时,M的τ-稠密同余是M的本质同余,特别,对忠实的遗传扭论τ,S的τ-稠密右同余是S 相似文献
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We consider the symmetric schemes in Boundary Value Methods (BVMs) applied to delay differential equations y′(t)=ay(t)+by(t-τ) with real coefficients a and b. If the numerical solution tends to zero whenever the exact solution does, the symmetric scheme with (k1+m,k2)-boundary conditions is called τk1,k2(0)-stable. Three families of symmetric schemes, namely the Extended Trapezoidal Rules of first (ETRs) and second (ETR2s) kind, and the Top Order Methods (TOMs), are considered in this paper.By using the boundary locus technology, the delay-dependent stability region of the symmetric schemes are analyzed and their boundaries are found. Then by using a necessary and sufficient condition, the considered symmetric schemes are proved to be τν,ν-1(0)-stable. 相似文献
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