標題: Titlebook: KP Solitons and the Grassmannians; Combinatorics and Ge Yuji Kodama Book 2017 The Author(s) 2017 KP equation.soliton solutions in two-dimen [打印本頁] 作者: FARCE 時間: 2025-3-21 18:43
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作者: dendrites 時間: 2025-3-21 21:26
Introduction to the Real Grassmannian,am, which gives a graphical interpretation of the permutation [103]. The pipedream will be useful to describe the spatial structure of the KP soliton as we will see in the later chapters. (See, for example, [15, 44, 45, 49] for the general information on the Grassmannian, the Young diagram and the symmetric group of permutations.)作者: Mets552 時間: 2025-3-22 00:42
Book 2017borators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics of finite-dimensional Grassmannians, in particular, the totally nonnegative (TNN) parts of the Grassmannians..The book begins with a brief introduction to the theory of the Kadom作者: 籠子 時間: 2025-3-22 06:10
The Deodhar Decomposition for the Grassmannian and the Positivity,the flag variety due to Marsh and Rietsch [83]. We conclude this section to give an algorithm to compute an explicit form of the matrix . and to discuss the positivity of .. Most of the materials presented here can be also found in [72].作者: 省略 時間: 2025-3-22 11:06 作者: Eulogy 時間: 2025-3-22 15:29 作者: 祝賀 時間: 2025-3-22 20:23
Two-Dimensional Solitons, soliton solutions in the determinant form and show that their wave parameters for these solutions are chosen from conic curves, that is, the KP soliton from the parabola, the two-dimensional Toda soliton from the hyperbola, and the Davey-Stewartson soliton from the circle.作者: Host142 時間: 2025-3-23 00:01
KP Solitons on ,,nd are generated from the points in an irreducible component of the . dimension, ., of .. We also discuss some combinatorial properties of those solutions. For the simplest cases of non-resonant interactions, the total number of such N-soliton solutions is given by a Catalan number ..作者: 心神不寧 時間: 2025-3-23 03:49 作者: 吞下 時間: 2025-3-23 08:59
Soliton Graphs,s the soliton graphs for the matrix . and give coordinates for all of the trivalent vertices, which then allows one to completely describe the soliton graph. Most of this chapter will be devoted to the case when ., with the final section explaining how the same ideas can be applied to the case when ..作者: Tidious 時間: 2025-3-23 11:40 作者: TSH582 時間: 2025-3-23 15:45
Yuji KodamaIs the first book to present a classification theory of two-dimensional patterns generated by the KP solitons.Provides an introduction to totally non-negative Grassmannians and introduces combinatoria作者: Infraction 時間: 2025-3-23 21:27 作者: 陳腐的人 時間: 2025-3-24 01:44 作者: 舊石器時代 時間: 2025-3-24 05:10 作者: 內(nèi)向者 時間: 2025-3-24 09:05
Two-Dimensional Solitons,d by the Wronskian form. In this chapter, we show that this determinant structure is common for other two-dimensional integrable systems generated by several reductions of the . proposed by Ueno-Takasaki [128] (see [123] for a further generalization of the bilinear identity). In addition to the KP h作者: 松馳 時間: 2025-3-24 11:55
Introduction to the Real Grassmannian,cation of the KP solitons. A point of . can be represented by an . matrix of full rank. We introduce the Schubert decomposition of . and label each Schubert cell using a Young diagram and a permutation in the symmetric group .. We also introduce a combinatorial tool called the . over the Young diagr作者: defile 時間: 2025-3-24 16:30
The Deodhar Decomposition for the Grassmannian and the Positivity,ition of . [33, 34]. Then we give a refinement of the Schubert decomposition of . as a projection of the Deodhar decomposition, and parametrize each component of the refinement by introducing ., which is a Young diagram decorated with . and . stones. In particular, if the Go-diagram has only white s作者: 蘑菇 時間: 2025-3-24 20:33 作者: 向下 時間: 2025-3-25 03:02
KP Solitons on ,,mannian . and . in terms of the KP solitons. Using this duality, we construct the KP solitons for . from those for .. We then consider a special class of KP solitons for ., which consists of the same set of the asymptotic solitons at both . and ., i.e. .. The soliton solutions of this type are refer作者: 使增至最大 時間: 2025-3-25 05:50 作者: FIS 時間: 2025-3-25 11:11
e this life, yet that also accounts for the fascination of such an attempt. This life, even less than others, cannot be reduced to a simple formula; behind Frederick’s every act and utterance, there is the whole complex and mercurial personality we have come to know. At every turn, various aspects c作者: 顛簸下上 時間: 2025-3-25 13:08
Yuji Kodama she bored him and he could bear anything better than ennui. She, on the other hand, kept a warm place for him in her heart, and her letters to her brother Prince Ferdinand of Brunswick, the distinguished soldier, are full of allusions to “our dear king.” That of July 12, 1757, on the death of the q作者: Ligament 時間: 2025-3-25 18:07
Yuji Kodama?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these importa作者: Outspoken 時間: 2025-3-25 20:37
Yuji Kodama?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these importa作者: Self-Help-Group 時間: 2025-3-26 00:39 作者: 招募 時間: 2025-3-26 06:45
Yuji Kodama?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these importa作者: exceed 時間: 2025-3-26 10:52 作者: 泛濫 時間: 2025-3-26 16:23 作者: refraction 時間: 2025-3-26 20:46 作者: inconceivable 時間: 2025-3-27 01:02 作者: Type-1-Diabetes 時間: 2025-3-27 02:24
2197-1757 tion to the recent development of the combinatorial aspect of the TNN Grassmannians and their?parameterizations, which will be useful for solving the classification problem..This work appeals to readers interes978-981-10-4093-1978-981-10-4094-8Series ISSN 2197-1757 Series E-ISSN 2197-1765 作者: Exonerate 時間: 2025-3-27 05:53 作者: Contend 時間: 2025-3-27 11:32
Yuji Kodamaall if God preserves him and arranges everything for the best, and if the king renders me a little more justice, this dear prince whom I love and adore as I shall to the end. What a satisfaction it used to be when I was with the dear departed and talked with her about this dear king and wished him e作者: conformity 時間: 2025-3-27 15:06 作者: 爭議的蘋果 時間: 2025-3-27 21:24 作者: 做事過頭 時間: 2025-3-27 23:15 作者: 多嘴多舌 時間: 2025-3-28 05:22
Yuji Kodamactral theory and Fredholm theory. This research activity recently culminated with the publication of the book of Laursen and Neumann [214], which collects almost every thing that is known about the spectral theory of multipliers.978-90-481-6522-3978-1-4020-2525-9作者: Allergic 時間: 2025-3-28 08:46
