Volume 219 2003

The Problem of Integrable Discretization: Hamiltonian Approach

Authors:

ISBN: 978-3-0348-9404-3 (Print) 978-3-0348-8016-9 (Online)

Table of contents (27 chapters)

previous Page of 2
  1. Front Matter

    Pages i-xxi

  2. General Theory

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-50

      Hamiltonian Mechanics

    3. No Access

      Book Chapter

      Pages 51-100

      R-matrix Hierarchies

  3. Lattice Systems

    1. Front Matter

      Pages 101-101

    2. No Access

      Book Chapter

      Pages 103-172

      Toda Lattice

    3. No Access

      Book Chapter

      Pages 173-229

      Volterra Lattice

    4. No Access

      Book Chapter

      Pages 231-262

      Newtonian Equations of the Toda Type

    5. No Access

      Book Chapter

      Pages 263-320

      Relativistic Toda Lattice

    6. No Access

      Book Chapter

      Pages 321-353

      Relativistic Volterra Lattice

    7. No Access

      Book Chapter

      Pages 355-408

      Newtonian Equations of the Relativistic Toda Type

    8. No Access

      Book Chapter

      Pages 409-428

      Explicit Discretizations for Toda-type Systems

    9. No Access

      Book Chapter

      Pages 429-443

      Explicit Discretizations for Newtonian Toda-type Systems

    10. No Access

      Book Chapter

      Pages 445-454

      Bruschi-Ragnisco Lattice

    11. No Access

      Book Chapter

      Pages 455-481

      Multi-field Toda-like Systems

    12. No Access

      Book Chapter

      Pages 483-506

      Multi-field Systems of the Relativistic Toda Type

    13. No Access

      Book Chapter

      Pages 507-532

      Belov-Chaltikian Lattices

    14. No Access

      Book Chapter

      Pages 533-565

      Multi-field Volterra-like Systems

    15. No Access

      Book Chapter

      Pages 567-603

      Multi-field Relativistic Volterra-like Systems

    16. No Access

      Book Chapter

      Pages 605-641

      Bogoyavlensky Lattices

    17. No Access

      Book Chapter

      Pages 643-686

      Ablowitz-Ladik Hierarchy

  4. Systems of Classical Mechanics

    1. Front Matter

      Pages 687-687

    2. No Access

      Book Chapter

      Pages 689-700

      Peakons System

    3. No Access

      Book Chapter

      Pages 701-710

      Standard-like Discretizations of Scalar Second-order Equations

previous Page of 2