| Kenji Kajiwara | Last modified dateļ¼2024.04.18 |
Professor /
Division of Applied Mathematics /
Institute of Mathematics for Industry
Reports
| 1. | Report of Geometric Shape Generation Activity Group, [URL]. |
| 2. | Deformation of Space Discrete Curves by Discrete mKdV and Discrete Sine-Gordon Equations (Novel Development of Nonlinear Discrete Integrable Systems). |
| 3. | , [URL]. |
| 4. | , [URL]. |
| 5. | Discrete Model of Isoperimetric Deformations of Planar Discrete Curve and DIscrete Integrabls Systems. |
| 6. | Introduction to Integrable Systems. |
| 7. | 25pXB-6 Generating function associated with the Yablonski-Vorob'ev polynomials. |
| 8. | 26pV-13 Rational solutions for Painleve III equation. |
| 9. | 30p-P-4 A generalizations of determinant formulas for the solutions of Painleve II and XXXIV equations. |
| 10. | On integrability test for ultradiscrete equations We consider an integrability test for ultradiscrete equations based on the singularity confinement analysis for discrete equations. We show how singularity pattern of the test is transformed into that of ultradiscrete equation. The ultradiscrete solution pattern can be interpreted as a perturbed solution. We can also check an integrability of a given equation by a perturbation growth of a solution, namely Lyapunov exponent. Therefore, singularity confinement test and Lyapunov exponent are related each other in ultradiscrete equations and we propose an integrability test from this point of v.... |
| 11. | Solution of Perturbod Volterra lattice. |
| 12. | 7p-YB-5 The special solutions of the discrete Painleve equation of second kind. |
| 13. | Bilinearization of Discrete Soliton Equations and Singularity Confinement.. |
| 14. | The algebraic solutions of the discrete Painleve equation of second kind. |
| 15. | 15p-P-4 Solution of the Discrete Painleve Equation of the Second Kind. |
| 16. | 28a-G-6 q-Discrete Toba Molecule Equation and Its Backlund Transformation. |
| 17. | 30a-J-6 A q-discretization of the Two-dimensional Toda Equation. |
| 18. | 25a-L-1 Relativistic Toda Equation. |
| 19. | 5p-J-2 Hierarchy of Nonlinear Difference Equations. |
| 20. | Conserved Quantities and Symmetries of the 2-Dimentional Toda Lattice Hierarchy. |
| 21. | 5a-ZD-10 Structure of Multi-component KP Hierarchy. |
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