Bilinear theory of soliton

[目次]

  • Contents
  • Chapter 1.A New Basis for Bilinear Theory / p1
  • §1.Introduction / p1
  • §2.Outline of the Theory / p2
  • §3.Algebraic Identity / p3
  • §4.Differential Formula / p4
  • §5.Hierarchies of Soliton Equations / p9
  • §6.Concluding Remarks / p11
  • Chapter 2.An Elementary Introduction to Sato Theory / p12
  • §1.Introduction / p12
  • §2.Basis of Sato Theory / p12
  • §3.Sato Equation / p15
  • §4.Generalized Lax Equation / p18
  • §5.Linear System Associated with the Generalized Lax Equation / p21
  • §6.т-Function / p24
  • §7.Explicit Expression of Solutions by the т-Function / p34
  • §8.Concluding Remarks / p37
  • Chapter 3.Coupled KP Hierarchy / p38
  • §1.Introduction / p38
  • §2.Hierarchy of Coupled Bilinear Equations / p38
  • §3.Pfaffian of Wronskian Type / p39
  • §4.Pfaffian of Gramian Type / p46
  • §5.Concluding Remarks / p49
  • Acknowledgments / p50
  • Appendix.Mathematics on Pfaffian / p51
  • A.1.Definition / p51
  • A.2.Linearity and Alternativity / p52
  • A.3.Cofactor / p53
  • A.4.Antisymmetric Determinant / p54
  • A.5.Golden theorem / p57
  • A.6.Differential Rule / p59
  • References / p60

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この本の情報

書名 Bilinear theory of soliton
著作者等 太田 泰広
書名別名 ソリトンの双線形理論
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