New Trends in Integrability and Partial Solvability (NATO Science Series Ii: Mathematics, Physics and Chemistry)

個数:

New Trends in Integrability and Partial Solvability (NATO Science Series Ii: Mathematics, Physics and Chemistry)

  • 提携先の海外書籍取次会社に在庫がございます。通常3週間で発送いたします。
    重要ご説明事項
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 【入荷遅延について】
    世界情勢の影響により、海外からお取り寄せとなる洋書・洋古書の入荷が、表示している標準的な納期よりも遅延する場合がございます。
    おそれいりますが、あらかじめご了承くださいますようお願い申し上げます。
  • ◆画像の表紙や帯等は実物とは異なる場合があります。
  • ◆ウェブストアでの洋書販売価格は、弊社店舗等での販売価格とは異なります。
    また、洋書販売価格は、ご注文確定時点での日本円価格となります。
    ご注文確定後に、同じ洋書の販売価格が変動しても、それは反映されません。
  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 308 p.
  • 言語 ENG
  • 商品コード 9781402018367
  • DDC分類 515.45

Full Description

TheAdvancedResearchWorkshop"NewTrendsinIntegrabilityandPartial Solvability"(ARW. 978791) tookplaceinthebeautifulsettingoftheFaculty ofMedicineofC' adizUniversity'smainroomonJune13-15,2002. Although thenumberofparticipantswas 30, thelectureswereattendedbymorethan one hundred researchers from around the world who were also attending the NEEDS 2002 meeting. Theaim of the organizers was to take advantage of these events to bring together researchers from the ?eld of integrable systems and/or from the particular subject of partial integrability, in view of the current interest in combining methods and ideas arising from both areas. A widevariety of topics were covered in the talks andthe subsequent discussions, including the analysis of reductions and solutions of integrable nonlinear partial di?erential equations and dynamical systems, new me- ods for the analysis of initial-boundary value problems for linear partial di?erential equations, quasi-exactly solvable Bose systems, the geometric theory of ordinarydi?erential equations, exactly and partially solvable spin models, the theory of nonlocal symmetries of di?erential equations, and superintegrable systems.
Theworkshop revealed the growing importance of the theory of integrable system as well as the emerging theory of partially solvable systems. The present volume contains a series of invited contributions describing the background and recent developments of the main subjects discussed in the workshop. Special emphasis has been laid on providing self-contained and detailed presentations of the theory. M. J. Ablowitz and J. Villarroel give a detailed description of the inverse scattering for the KP equation, a keystone in the theory of integrable s- tems.

Contents

Preface. List of Contributors. Initial value problems and solutions of the Kadomtsev-Petviashvili equation; M.J. Ablowitz, J. Villarroel. Partially superintegrable (indeed isochronous) systems are not rare; F. Calogero. Initial-boundary value problems for linear PDEs: the analyticity approach; A. Degasperis, S.V. Manakov, P.M. Santini. Quasi-exactly solvable Bose systems; S.N. Dolya, O.B. Zaslavskii. The Riemann and Einstein-Weyl geometries in the theory of ordinary differential equations, their applications and all that; V. Dryuma. Dunkl operators and Calogero-Sutherland models; F. Finkel, et al. Yang-Baxter maps and matrix solitons; V.M. Goncharenko, A.P. Veselov. Nonlocal Symmetries and Ghosts; P.J. Olver. Integrable BCN analytic difference operators: hidden parameter symmetries and eigenfunctions; S.N.M. Ruijsenaars. On the prolongation of a hierarchy of hydrodynamic chains; A.B. Shabat, L. Martínez Alonso. Superintegrable systems in classical and quantum mechanics; P. Winternitz.