Martin David Kruskal - Publications

Affiliations: 
1951-1989 Astronomy Princeton University, Princeton, NJ 
 1989-2006 Mathematics Rutgers University, New Brunswick, New Brunswick, NJ, United States 
Area:
astrophysics, nuclear fusion and the soliton
Website:
http://www.math.rutgers.edu/docs/kruskal/

32 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2005 Costin O, Kruskal MD. Analytic methods for obstruction to integrability in discrete dynamical systems Communications On Pure and Applied Mathematics. 58: 723-749. DOI: 10.1002/Cpa.20053  0.425
2004 Costin O, Dupaigne L, Kruskal MD. Borel summation of adiabatic invariants Nonlinearity. 17: 1509-1519. DOI: 10.1088/0951-7715/17/4/019  0.396
2003 Costin RD, Kruskal MD. Nonintegrability criteria for a class of differential equations with two regular singular points Nonlinearity. 16: 1295-1317. DOI: 10.1088/0951-7715/16/4/306  0.409
1999 Costin O, Kruskal MD. On optimal truncation of divergent series solutions of nonlinear differential systems Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 455: 1931-1956. DOI: 10.1098/Rspa.1999.0387  0.313
1996 Costin O, Kruskal MD. Optimal uniform estimates and rigorous asymptotics beyond all orders for a class of ordinary differential equations Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 452: 1057-1085. DOI: 10.1098/Rspa.1996.0054  0.333
1995 Kruskal MD. An ODE to a PDE: Glories of the KdV equation. An appreciation of the equation on its 100th birthday! Acta Applicandae Mathematicae. 39: 127-132. DOI: 10.1007/Bf00994630  0.342
1994 Joshi N, Kruskal MD. A Direct Proof that Solutions of the Six Painlevé Equations Have No Movable Singularities Except Poles Studies in Applied Mathematics. 93: 187-207. DOI: 10.1002/Sapm1994933187  0.394
1992 Hu J, Kruskal M. Reflection coefficient problems for weakly nonlinear wave equations Siam Journal On Applied Mathematics. 52: 1584-1596. DOI: 10.1137/0152091  0.347
1992 Joshi N, Kruskal MD. The Painlevé Connection Problem: An Asymptotic Approach. I Studies in Applied Mathematics. 86: 315-376. DOI: 10.1002/Sapm1992864315  0.349
1989 Clarkson PA, Kruskal MD. New similarity reductions of the Boussinesq equation Journal of Mathematical Physics. 30: 2201-2213. DOI: 10.1063/1.528613  0.389
1988 Joshi N, Kruskal MD. An asymptotic approach to the connection problem for the first and the second painlevé equations Physics Letters A. 130: 129-137. DOI: 10.1016/0375-9601(88)90415-X  0.352
1982 Jimbo M, Kruskal MD, Miwa T. Painlevé test for the self-dual Yang-Mills equation Physics Letters A. 92: 59-60. DOI: 10.1016/0375-9601(82)90291-2  0.332
1979 Ablowitz MJ, Kruskal MD, Ladik JF. SOLITARY WAVE COLLISIONS. Siam J Appl Math. 36: 428-437. DOI: 10.1137/0136033  0.551
1979 Fisch NJ, Kruskal MD. Separating variables in two-way diffusion equations Journal of Mathematical Physics. 21: 740-750. DOI: 10.1063/1.524495  0.393
1979 Ablowitz MJ, Kruskal M, Segur H. A note on Miura’s transformation Journal of Mathematical Physics. 20: 999-1003. DOI: 10.1063/1.524197  0.55
1979 Bock TL, Kruskal MD. A two-parameter Miura transformation of the Benjamin-Ono equation Physics Letters A. 74: 173-176. DOI: 10.1016/0375-9601(79)90762-X  0.374
1974 Miura RM, Kruskal MD. Application of a Nonlinear WKB Method to the Korteweg–DeVries Equation Siam Journal On Applied Mathematics. 26: 376-395. DOI: 10.1137/0126036  0.423
1974 Gardner CS, Greene JM, Kruskal MD, Miura RM. Korteweg‐devries equation and generalizations. VI. methods for exact solution Communications On Pure and Applied Mathematics. 27: 97-133. DOI: 10.1002/Cpa.3160270108  0.393
1970 Kruskal MD, Miura RM, Gardner CS, Zabusky NJ. Korteweg-deVries equation and generalizations. V. Uniqueness and nonexistence of polynomial conservation laws Journal of Mathematical Physics. 11: 952-960. DOI: 10.1063/1.1665232  0.391
1968 Orszag SA, Kruskal MD. Formulation of the theory of turbulence Physics of Fluids. 11: 43-60. DOI: 10.1063/1.1691777  0.53
1968 Miura RM, Gardner CS, Kruskal MD. Korteweg-de Vries equation and generalizations. II. Existence of conservation laws and constants of motion Journal of Mathematical Physics. 9: 1204-1209. DOI: 10.1063/1.1664701  0.381
1967 Gardner CS, Greene JM, Kruskal MD, Miura RM. Method for solving the Korteweg-deVries equation Physical Review Letters. 19: 1095-1097. DOI: 10.1103/Physrevlett.19.1095  0.395
1966 Orszag SA, Kruskal MD. Theory of turbulence Physical Review Letters. 16: 441-444. DOI: 10.1103/Physrevlett.16.441  0.485
1966 Kruskal MD, Zabusky NJ. Exact invariants for a class of nonlinear wave equations Journal of Mathematical Physics. 7: 1256-1267. DOI: 10.1063/1.1705028  0.379
1965 Kruskal MD, Bernstein IB, Kulsrud. RM. A Multiple-Bounce Theory for the Expansion and Retardation of a Cold-Plasma Explosion Bubble. The Astrophysical Journal. 142: 369. DOI: 10.1086/148291  0.316
1965 Cohen IM, Kruskal MD. Asymptotic theory of the positive column of a gas discharge Physics of Fluids. 8: 920-934. DOI: 10.1063/1.1761336  0.38
1964 Kruskal MD, Bernstein IB. Runaway electrons in an ideal Lorentz plasma Physics of Fluids. 7: 407-418. DOI: 10.1063/1.1711213  0.552
1964 Kruskal MD, Zabusky NJ. Stroboscopic-perturbation procedure for treating a class of nonlinear wave equations Journal of Mathematical Physics. 5: 231-244. DOI: 10.1063/1.1704113  0.417
1962 Greene JM, Johnson JL, Kruskal MD, Wilets L. Equilibrium and stability of helical hydromagnetic systems Physics of Fluids. 5: 1063-1069. DOI: 10.1063/1.1724474  0.34
1962 Kruskal M. Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic Journal of Mathematical Physics. 3: 806-828. DOI: 10.1063/1.1724285  0.376
1958 Bernstein IB, Frieman EA, Kruskal MD, Kulsrud RM. An Energy Principle for Hydromagnetic Stability Problems Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 244: 17-40. DOI: 10.1098/Rspa.1958.0023  0.314
1957 Bernstein IB, Greene JM, Kruskal MD. Exact nonlinear plasma oscillations Physical Review. 108: 546-550. DOI: 10.1103/Physrev.108.546  0.552
Show low-probability matches.