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Nicolas M. Ercolani

Affiliations: 
University of Arizona, Tucson, AZ 
Area:
Mathematics
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"Nicolas Ercolani"
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Publications

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Ercolani NM, Pierce VU. (2012) The continuum limit of Toda lattices for random matrices with odd weights Communications in Mathematical Sciences. 10: 267-305
Ercolani NM, McLaughlin KDTR, Pierce VU. (2008) Random matrices, graphical enumeration and the continuum limit of toda lattices Communications in Mathematical Physics. 278: 31-81
Glasgow SA, Agrotis MA, Ercolani NM. (2005) An integrable reduction of inhomogeneously broadened optical equations Physica D: Nonlinear Phenomena. 212: 82-99
Ercolani NM, McLaughlin KTR. (2001) Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model Physica D: Nonlinear Phenomena. 152: 232-268
Ercolani NM, Indik R, Newell AC, et al. (2000) The geometry of the phase diffusion equation Journal of Nonlinear Science. 10: 223-274
Agrotis M, Ercolani NM, Glasgow SA, et al. (2000) Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole Physica D: Nonlinear Phenomena. 138: 134-162
Calini A, Ercolani NM, McLaughlin DW, et al. (1996) Mel'nikov analysis of numerically induced chaos in the nonlinear Schrödinger equation Physica D: Nonlinear Phenomena. 89: 227-260
Miller PD, Ercolani NM, Levermore CD. (1996) Modulation of multiphase waves in the presence of resonance Physica D: Nonlinear Phenomena. 92: 1-27
Ercolani NM, McLaughlin DW, Roitner H. (1993) Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis Journal of Nonlinear Science. 3: 477-539
Ercolani NM, Forest MG, McLaughlin DW, et al. (1993) Strongly nonlinear modal equations for nearly integrable PDEs Journal of Nonlinear Science. 3: 393-426
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