EN | RU

МИНИСТЕРСТВО ОБРАЗОВАНИЯ И НАУКИ РОССИЙСКОЙ ФЕДЕРАЦИИ

Федеральное государственное автономное образовательное учреждение высшего профессионального образования

Sep

Национальный
исследовательский
ядерный университет "МИФИ"

Кафедра 31 Прикладная Математикa

Профессор, д.ф.-м.н. Кудряшов Николай Алексеевич

 

Математические методы в экономике

Список публикаций по нелинейным математическим динамическим моделям, применяемым в физике и в экономике  профессора, д.ф.-м.н. Н.А. Кудряшова за 2007 -2011 г.

 

  1. Kudryashov N.A. Redundant exact solutions of nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation. 2011. V. 16. I. 9. P. 3451-3456
  2. Kudryashov N.A. On complete integrability for systems of differential equations. Communications in Nonlinear Science and Numerical Simulation. 2011. 16(6). P. 2414-2420.
  3. Kudryashov N.A. A note on solutions of the Korteweg-de Vries hierarchy. Communications in Nonlinear Science and Numerical Simulation. 2011. V. 16. I. 4. P. 1703-1705.
  4. Kudryashov N.A., Prilipko S.G. Exact solutions of the generalized K(m,m) equations. Communications in Nonlinear Science and Numerical Simulation. 2011. V. 16. I. 3. P. 1107-13.
  5. Demina M.V., Kudryashov N.A. Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations. Communications in Nonlinear Science and Numerical Simulation. 2011. V. 16. I. 3. P. 1127-34.
  6. Kudryashov N.A., Sinelshchikov D.I., Demina M.V. Exact solutions of the generalized bretherton equation. Physics Letters A. 2011. V. 375. I. 7. P. 1074-1079.
  7. Kudryashov N.A., Sinelshchikov D.I. A note on the lie symmetry analysis and exact solutions for the extended mKdV equation. Acta Applicandae Mathematicae . 2011. V. 113. I. 1. P. 41-44.
  8. Kudryashov N.A., Ryabov P.N. Comment on. P.  " application of the (G`/G) method for the complex KdV equation". Communications in Nonlinear Science and Numerical Simulation. 2011. V. 16. I. 1. P. 596-588.
  9. Kudryashov N.A., Sinelshchikov D.I. A note on "Abundant new exact solutions for the (3+1)-dimensional Jimbo-Miwa equation". Journal of Mathematical Analysis and Applications. 2010. V.371. I. 1. P. 393-396.
  10. Kudryashov N.A. Soliton, rational and special solutions of the Korteweg-de Vries hierarchy. Applied Mathematics and Computation. 2010. V. 217. I. 4. P. 1774-1779.
  11. Kudryashov N.A. A note on new exact solutions for the Kawahara equation using exp-function method. J Comput Appl Math. 2010. V. 234. I. 12. P. 3511-3512.
  12. Kudryashov N.A. A note on the G`/G-expansion method. Applied Mathematics and Computation. 2010. V. 217. I. 4. P. 1755-1758.
  13. Kudryashov N.A. Meromorphic solutions of nonlinear ordinary differential equations. Communications in Nonlinear Science and Numerical Simulation . 2010. V. 15. I. 10. P. 2778-2790.
  14. Demina M.V., Kudryashov N.A. From Laurent series to exact meromorphic solutions. P.  The Kawahara equation. Physics Letters A. 2010. V. 374. I. 39. P. 4023-4029.
  15. Kudryashov N.A., Soukharev M.B. Comment on. P.  Multi soliton solution, rational solution of the Boussinesq-Burgers equations. Communications in Nonlinear Science and Numerical Simulation  2010. V. 15. I. 7. P. 1765-1767.
  16. Kudryashov N.A., Ryabov P.N., Sinelshchikov D.I. A note on "new kink-shaped solutions and periodic wave solutions for the (2 + 1)-dimensional sine-gordon equation". Applied Mathematics and Computation . 2010. V. 216. I. 8. P. 2479-2481.
  17. Kudryashov N.A. Self-similar solutions of the Burgers hierarchy. Applied Mathematics and Computation. 2009. V. 215. I. 5. P. 1990-1993.
  18. Kudryashov N.A., Sinelshchikov D.I. Exact solutions of equations for the Burgers hierarchy. Applied Mathematics and Computation . 2009. V. 215. I. 3. P. 1293-1300.
  19. Kudryashov N.A. Seven common errors in finding exact solutions of nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation . 2009. V. 14. I. 9-10. P. 3507-3529.
  20. Kudryashov N.A., Soukharev M.B. Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Regular and Chaotic Dynamics . 2009. V. 14. I. 3. P. 407-419.
  21. Kudryashov N.A., Loguinova N.B. Be careful with the exp-function method. Communications in Nonlinear Science and Numerical Simulation . 2009. V. 14. I. 5. P. 1881-190.
  22. Kudryashov N.A. On "new travelling wave solutions" of the KdV and the KdV-Burgers equations. Communications in Nonlinear Science and Numerical Simulation . 2009. V. 14. I. 5. P. 1891-1900.
  23. Kudryashov N.A., Demina M.V. Traveling wave solutions of the generalized nonlinear evolution equations. Applied Mathematics and Computation . 2009. V. 210. I. 2. P. 551-557.
  24. Kudryashov N.A. Comment on. P. "A novel approach for solving the Fisher equation using exp-function method". Physics Letters, Section A. P.  General, Atomic and Solid State Physics . 2009. V. 373. I. 12-13. P. 1196-1197.
  25. Kudryashov N.A. Special polynomials associated with rational solutions of some hierarchies. Chaos, Solitons and Fractals . 2009. V. 39. I. 3. P. 1447-1462.
  26. Kudryashov N.A., Loguinova N.B. Extended simplest equation method for nonlinear differential equations. Applied Mathematics and Computation . 2008. V. 205. I. 1. P. 396-402.
  27. Kudryashov N.A., Demina M.V. The generalized Yablonskii-Vorob'ev polynomials and their properties. Physics Letters A. 2008. V. 372. I. 29. P. 4885-4890.
  28. Kudryashov N.A. Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Regular and Chaotic Dynamics . 2008. V. 13. I. 3. P. 234-238.
  29. Kudryashov N.A. Special polynomials associated with some hierarchies. Physics Letters A. 2008. V. 372. I. 12. P. 1945-1956.
  30. Chernyavsky I.L.; Kudryashov N.A. A Mathematical Model for Autoregulation of the Arterial Lumen by Endothelium-Derived Relaxing Factor. Advanced Science Letters. 2008. V. 1. I. 2. P. 226-230
  31. Демина М.В., Кудряшов Н.А. Специальные полиномы и рациональные решения иерархии второго уравнения Пенлеве. Теоретическая и математическая физика. 2007. Т. 153. № 1. С. 58-67.
  32. Kudryashov N.A., Demina M.V. Relations between zeros of special polynomials associated with the Painlevé equations. Physics Letters A. 2007. V. 368. I. 3-4. P. 227-234.
  33. Kudryashov N.A., Demina M.V. Polygons of differential equations for finding exact solutions. Chaos, Solitons and Fractals . 2007. V. 33. I. 5. P. 1480-1496.
  34. Kudryashov N.A., Demina M.V. Special polynomials associated with the fourth order analogue to the Painlevé equations. Physics Letters A. 2007. V. 363. I. 5-6. P. 346-355.
  35. Demina M.V., Kudryashov N.A. Power and non-power expansions of the solutions for the fourth-order analogue to the second Painleve equation. Chaos, Solitons and Fractals. 2007. V. 32. I. 1. P. 124-144.
  36. Demina M.V., Kudryashov N.A. The Yablonskii-Vorob'ev polynomials for the second Painlevé hierarchy. Chaos, Solitons and Fractals. 2007. V. 32. I. 2. P. 526-537.
  37. Efimova O.Y., Kudryashov N.A. Power expansions for the self-similar solutions of the modified Sawada-Kotera equation. Regular and Chaotic Dynamics . 2007. V. 12. I. 2. P. 198-218.

 

Математические методы в экономике