Publications
SINGULARITIES OF THE COMPLEX KORTEWEG-DEVRIES FLOWS. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 39:283-305.
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1986. NONLINEAR MULTIPHOTON RESONANCES IN QUANTUM-WELLS. PHYSICS LETTERS A. 203:319-332.
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1995. CHAOTIC PERTURBATIONS OF KDV .1. RATIONAL SOLUTIONS. PHYSICA D-NONLINEAR PHENOMENA. 19:238-254.
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1986. An ODE model of the motion of pelagic fish. JOURNAL OF STATISTICAL PHYSICS. 128:535-568.
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2007. .
2008. Existence and homogenization of the Rayleigh-Benard problem. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. 7:136-169.
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2000. Subharmonic generation in a driven asymmetric quantum well. PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE). 3617:159-163.
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1999. Homogenized Maxwell's equations; A model for ceramic varistors. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. 6:257-272.
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2006. Ordered, Disordered and Partially Synchronized Schools of Fish. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION. 18:163-174.
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2017. THE RIGIDITY OF SINE-GORDON BREATHERS. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 47:1043-1051.
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1994. THE KOLMOGOROV-OBUKHOV-SHE-LEVEQUE SCALING IN TURBULENCE. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. 13:1737-1757.
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2014. COMPLEX HILL EQUATION AND THE COMPLEX PERIODIC KORTEWEG-DEVRIES EQUATIONS. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 39:1-49.
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1986. Dynamic energy budget approach to evaluate antibiotic effects on biofilms. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. 54:70-83.
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2018. AN EXPLICIT DESCRIPTION OF THE GLOBAL ATTRACTOR OF THE DAMPED AND DRIVEN SINE-GORDON EQUATION. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 162:539-590.
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1994. GLOBAL ATTRACTORS AND BASIC TURBULENCE. NATO ADVANCED SCIENCE INSTITUTES SERIES, SERIES B, PHYSICS. 329:321-334.
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1994. Meandering fluid streams in the presence of flow-rate fluctuations. PHYSICAL REVIEW LETTERS. 101
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2008. Basic dynamical systems control of aeroengine flow. IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS. :274-279.
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2000. The local ill-posedness of the modified KdV equation. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. 13:529-535.
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1996. Periodicity, chaos and localization in a Burridge-Knopoff model of an earthquake with rate-and-state friction. GEOPHYSICAL JOURNAL INTERNATIONAL. 187:178-198.
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2011. AN EXAMPLE OF BLOW-UP, FOR THE COMPLEX KDV EQUATION AND EXISTENCE BEYOND THE BLOW-UP. SIAM JOURNAL ON APPLIED MATHEMATICS. 47:710-725.
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1987. On the ill-posedness of the IVP for the generalized Korteweg-DeVries and nonlinear Schrodinger equations. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 53:551-559.
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1996. The Kolmogorov-Obukhov Statistical Theory of Turbulence. JOURNAL OF NONLINEAR SCIENCE. 23:657-688.
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2013. Mathematical Models for Erosion and the Optimal Transportation of Sediment. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION. 14:323-337.
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2013. Discrete and continuous models of the dynamics of pelagic fish: Application to the capelin. MATHEMATICS AND COMPUTERS IN SIMULATION. 79:3397-3414.
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2009. A finite dimensional attractor of the Moore-Greitzer PDE model. SIAM JOURNAL ON APPLIED MATHEMATICS. 59:636-650.
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1998.